Repairs Design Furniture

What a lucky number of twins women. Happy twin zodiac sign. Happy figures for all

Simple twin numbers, or paired simple numbers - Couples of prime numbers different from 2.

Encyclopedic YouTube.

  • 1 / 5

    All pairs of simple twins, except (3, 5), are 6 N ± 1, (\\ DisplayStyle 6N \\ PM 1,) Since the numbers with other deductions in module 6 are divided into 2 or on 3. If it is also considered a division by 5, it turns out that all twins pairs except the first two are 30 N ± 1 (\\ DisplayStyle 30N \\ PM 1), 30 N + 12 ± 1 (\\ DisplayStyle 30N + 12 \\ PM 1) or 30 N + 18 ± 1 (\\ DisplayStyle 30N + 18 \\ PM 1). For any whole m.≥ 2, steam ( m., m.+ 2) is a pair of simple twin numbers if and only if 4 [( m.- 1)! + 1] + m. divided by m.(m.+ 2) (consequence of Wilson theorem).

    The first simple twin numbers:

    (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73), (101, 103), (107, 109), (137, 139), (149, 151), (179, 181), (191, 193), (197, 199), (227, 229), (239, 241), (269, 271), (281, 283), (311, 313), (347, 349), (419, 421), (431, 433), (461, 463), (521, 523), (569, 571), (599, 601), (617, 619), (641, 643), (659, 661), (809, 811), (821, 823), (827, 829), (857, 859), (881, 883)

    The largest famous twins are numbers 2996863034895 ⋅ 2 1290000 ± 1 (\\ DISPLAYSTYLE 2996863034895 \\ CDOT 2 ^ (1290000) \\ PM 1) . They were found in September 2016 as part of the draft distributed computing PRIMEGRID

    It is assumed that such pairs are infinitely a lot, but it is not proven. According to the first hypothesis Hardy - Littlewood (eng.), quantity π 2 (x) (\\ displaystyle \\ pi _ (2) (x)) pairs of simple twins, not exceeding x, asymptotically approaches

    π 2 (x) ~ 2 C 2 ∫ 2 xDT (ln \u2061 t) 2, (\\ displaystyle \\ pi _ (2) (x) \\ SIM 2C_ (2) \\ int \\ limits _ (2) ^ (x) ( \\ FRAC (DT) ((\\ ln t) ^ (2))),)

    where C 2 (\\ DisplayStyle C_ (2)) - Constant Simple-twins:

    C 2 \u003d π P ≥ 3 (1 - 1 (p - 1) 2) ≈ 0. ... (\\ displaystyle c_ (2) \u003d \\ PROD _ (P \\ GEQ 3) \\ left (1 - (\\ FRAC (1) ((P-1) ^ (2))) \\ Right) \\ APPROX 0.\\ ldots)

    History

    The question of whether the many simple twin numbers infinitely was one of the greatest open questions in the theory of numbers for many years. [ ] The hypothesis about the infinite number of prime numbers of twins argues: "There is indefinitely many such simple P (\\ DisplayStyle P)that I. P + 2 (\\ DISPLAYSTYLE P + 2) - Also simple. " In 1849, de Polynyak put forward a more general hypothesis: "For any natural K (\\ DisplayStyle K) There is an infinite number of such pairs of numbers P (\\ DisplayStyle P) and P '(\\ DisplayStyle P), what p - p '\u003d 2 k (\\ displaystyle p-p "\u003d 2k)».

    In the assumption of justice, Elliot's hypothesis - Halberstam and its generalization, the estimate can be reduced to 12 and 6, respectively.

    Theorem Bruna

    (5, 7, 11), (7, 11, 13), (11, 13, 17), (13, 17, 19), (17, 19, 23), (37, 41, 43), (41, 43, 47), (67, 71, 73), (97, 101, 103), (101, 103, 107), (103, 107, 109), (107, 109, 113), (191, 193, 197), (193, 197, 199), (223, 227, 229), (227, 229, 233), (277, 281, 283), (307, 311, 313), (311, 313, 317), (347, 349, 353), (457, 461, 463), (461, 463, 467), (613, 617, 619), (641, 643, 647), (821, 823, 827), (823, 827, 829), (853, 857, 859), (857, 859, 863), (877, 881, 883), (881, 883, 887)

    At the moment, the largest well-known simple-triplets are numbers:

    (p., p.+4, p.+6) where p. \u003d 6521953289619 × 2 55555 - 5 (16737 Numbers, April, 2013, Peter Kaiser, Srsieve, LLR, OpenPFGW)

    Quirtists of prime numbers

    Fourths of prime numbers of the form (p, p + 2, p + 6, p + 8) or double twins or quirtilets:

    (5, 7, 11, 13), (11, 13, 17, 19), (101, 103, 107, 109), (191, 193, 197, 199), (821, 823, 827, 829), (1481, 1483, 1487, 1489), (1871, 1873, 1877, 1879), (2081, 2083, 2087, 2089), (3251, 3253, 3257, 3259), (3461, 3463, 3467, 3469), (5651, 5653, 5657, 5659), (9431, 9433, 9437, 9439), (13001, 13003, 13007, 13009), (15641, 15643, 15647, 15649), (15731, 15733, 15737, 15739), (16061, 16063, 16067, 16069), (18041, 18043, 18047, 18049), (18911, 18913, 18917, 18919), (19421, 19423, 19427, 19429), (21011, 21013, 21017, 21019), (22271, 22273, 22277, 22279), (25301, 25303, 25307, 25309), …

    (7, 11, 13, 17, 19, 23), (97, 101, 103, 107, 109, 113), (16057, 16061, 16063, 16067, 16069, 16073), (19417, 19421, 19423, 19427, 19429, 19433), (43777, 43781, 43783, 43787, 43789, 43793) …

    Module All Seconders, except for the first, have the appearance (97, 101, 103, 107, 109, 113).

    see also

    Notes

    The reign of twins, as the sign of the zodiac, traditionally begins at the end of May, and more specifically - the 22 numbers. In this article, we will tell what behavior to expect from this representative of the air element.

    Astrological meaning hiding behind the symbol of the zodiac sign Gemini is duality and variability against the background of a harmonious combination of two began: male and female. It is believed that all the multifaceted human nature of this sign is revealed as positive as much as possible in the case when the year of his birth in the interpretation of the eastern horoscope corresponds to the year of the bull, snake or rooster.

    The beginning of the twin cycle is the date of May 22, the end of June 21. That is, all people born in this temporary gap, according to traditional Western astrology, are twins.

    Native element sign - air. And this fact has its own display in the fate of people born under the sign of the twins. So, let's say, ease and impermanence, personifying the air environment, allow the twins to find themselves in a variety of creative professions. And obsessing victories, they almost never focus on them, do not live in current accomplishments, but they strive to conquer new horizons and open the future.

    However, their changes to change is both the opposite side of the medal: stability often presses the consciousness of the twins and, as a result, prevents them from building a serious relationship with the opposite sex. So life on suitcases depressing many, most of them are welcome with a bang.

    Among the favorable days for twins, astrologers celebrate 3, 5, 8 and 12 number of each month.

    As for the days of the week, the "positively charged" for the twins are the resurrection and environment. But Thursday interpreters of the stars do not recommend them to use as a day to take vital decisions. Twins are also often represented as "children" of Jupiter (21.05. - 31.05.), Mars (01.06. - 10.06.) And the Sun (11.06. - 21.06.). At the same time, each of the cosmic parents strives to endow their earthly son or daughter by those or other qualities. So the inconsistency in the thinking and internal organization of people is often visible even within the sign of the sign.

    Twins metals are silver and gold, Berill and Topaz are celebrated among the most effective talisman stones.

    ABOUT THE AUTHOR

    Each person has the number of fate that is calculated by the date of birth. In addition to him, there are figures that attract the success with a specific zodiac sign. Astrologers recommend planning important events on "Weight" dates based on their number. It helps to succeed and "catch" luck. Consider happy numbers for twins and how they affect the zodiac sign.

    Character and temperament

    Friendly, movable, sociable, resourceful, witty are all about twins. They have good memory and excellent analytical abilities; Quickly adapt to change. They are like chameleon - constantly change depending on mood and situations. But these are their plus - due to the duality and changeability of the twins can always get out of the difficult situation. Representatives of the air element instantly think about everything and enjoy their intellectual abilities. This does not mean that they are smarter than everyone; Just such people think and move in life faster than others. In the dynamicity, they are on the exactly with an aquarity, and even sometimes inferior to him. Happy numbers for twins can bring good luck to the Waterwords and vice versa.

    Among the twins most of all polyglotov. They are easily given foreign languages. And they skillfully lead any discussions. Gemini should learn to patience and amplifies. They are surrounded by nervous energy. To a man of conservative type, they are extremely intolerable. And in general, listening to a long time, people do not know how. But they are friendly. Knowing a happy number of twins on a horoscope, you can pick up favorable days for their business transactions, romantic dates, large purchases.

    Career and business

    Twins are perfectly owned by a word, so competent speakers are obtained. The strength of the imagination is developing their writer talent. Gemini are in constant search for new knowledge. They love to learn, preferring not one higher education. Better when twin has several interests, because with failures, such a person quickly flows into depression.

    In the scientific field, twins should choose philology, psychology, linguistics, geography. In business income will bring intermediary, trade, transport. Of these, good agents, guides, speakers, critics, journalists, reporters, dealers are obtained. In medicine it is recommended to choose professions in the field of psychotherapy, neuropathology. In sports, they will succeed in basketball, athletics, volleyball. Representatives of air elements will be able to show their creative abilities in painting, choreography, literature. Gemini - the sign of the zodiac, whose lucky numbers 3 and 4 in business and work. Business meetings, important negotiations are recommended to plan on the dates in which these numbers are present.

    Health

    Gemini physically enduring people. They are more often experiencing emotional exhaustion, which is why boredom appears, overwork and, as a result, physical ailments begin. The signs of the air element are more likely to suffer from diseases of the lungs, asthma, nervous speech disorders, diseases of the hands. To avoid overworking twins, it is recommended to walk more often in the fresh air, ride a bike. Certain thoughts in order and relax help yoga classes.

    Love

    The beat of the twins is that they often cannot distinguish love from the present feeling. They may fall in love with a person who does not pay attention to them and seek its location. The secret connections of the "air" people end badly. Due to the superficialness of the feelings, the twins lose partners. But it does not peck them, because the most valuable sign is freedom; Attractive for them a person who loves without restrictions.

    To successfully find the soul mate, you can take into account the happy numbers for twins in love. This 4 and combinations of numbers in which four is present. The owners of the number 4 are strong independent people who are surrounding appreciated for spiritual qualities. Four knows how to choose a satellite of life and subsequently be faithful to him.

    In the sexual sector, twins also love variety. They want to try all kinds of sex. Erotic fantasies partner do not embarrass them. What are the happy numbers for twins in the erotic sphere? The same four and seven that is responsible for spirituality and mysticism. Twins have excellent compatibility with Aquarius and weights. But fish and virgins as a partner is better not to choose.

    Numbers

    Each sign has numbers favorable and unfavorable. It is better to know what every number means and what effect it has per person. Consider the sign of the zodiac twins. Happy numbers for him - 3, 4, 5, 7, 12, 18.

    3 - This figure has a huge force. For example, in Orthodoxy this is a symbol of faith, holiness, creation. And many prayers are pronounced three times. People who have the code "3" can achieve heights in any field of life. Troika gives success, luck. Such people achieve heights due to developed intuition and creative thinking. The number 3 also helps Capricorn, devices.

    4 is a symbol of loyalty, limitless mind, observation, independence. These are strong and self-sufficient personalities, ready to stretch your hand help. Four prompts twins to self-development. And she also helps to find a worthy partner. Under the patronage of the number 4 there are also cradles, aries, scorpions, calves.

    The top five opens great opportunities for her owners. These are energetic people who are distinguished by natural magnetism. The number 5 gives its owners pleasant surprises and endless features. But at the same time, the five requires decisiveness, independence.

    Other numbers

    Seven also enters the category "Happy numbers for twins." This is how the astrologers explain it. The number 7 is responsible for mysticism, communications with unknown, spirituality. Twins are representatives of the air elements that are most interested in spirituality. They read literature and write treatises on this topic. The fact is that the twins in the soul idealists. Much they are analyzed from the position of logic. But when they apply their logical thinking to intangible hobbies, they are stumbled upon the imperfection of science, which can not yet explain many things. Therefore, they are close to mystical and spiritual topics. And it was the seven who brings magic to their life, gives spirituality, analytical abilities. This number also patronizes to devies, Capricorn, Aries, Fish.

    Two-digit numbers are a combination of unambiguous. And therefore they are secondary. 12 - happy twin sign. In sum, it gives the top three. The influence of this number on the sign was considered above.

    18 is the same nine. Very good number, as combines the qualities of all other numbers. Gives his owners intuition, energy, sensuality, strength of the spirit.

    Successful numbers for men

    Find out what happy numbers for twin men exist.

    Mercury - "Winged Messenger of the Gods" - is responsible for the mental process. Gemini are under the influence of this planet. Therefore, they are characterized by high intellectuality and logic. Mercury endowed men air elements with such positive qualities as talent, ease, causality, diplomaticity. These qualities need to be used to achieve their goals. The lucky numbers of the twins men 3, 5. Troika gives strength, and the five - giving the energetic and greater possibilities.

    For women

    Twin female rarely are happy to the end. Often her life takes place in the perfect partner. While she does not find his ideal, life seems incomplete. But if such a woman meets a man of his dreams, life on earth turns into paradise. It is sad that it rarely happens. This does not mean that the twins are lonely lonely. They create families, give birth to children, but if there is no perfect man nearby, there is a place for longing in life. Periodically, the girl of this sign is experiencing a deep depression. Sex for a twin woman is not indifferent, but she prefers substantive relationships, because physical intimacy does not give her feelings of complete satisfaction. The "air" woman is attractive and always has success among men.

    Happy numbers of twins - women 4, 5, 7. Four helps to find a decent satellite of life. The top five gives the pleasant gifts of fate. Seven makes spirituality, magic.

    Happy numbers for games

    Numerology can be used for all occasions: to determine a good day for a wedding, an important meeting, making a large purchase. It turns out that correctly selected numbers can bring good luck in gambling. The following information is useful for lovers of lotteries. Happy numbers for twins in the lottery are 5, 10, 15 and their various combinations (for example, 1015). To increase the chance of winning, astrologists recommend to bet on a horoscope favorable day.

    Happy days, colors

    Favorable days for twins - Wednesday, Sunday, when representatives of the air element favors good luck. These days it is recommended to start a new project, going on a trip. And if you consider the lucky numbers for twins and apply them for these 2 days, then the result can be awesome.

    In addition to numbers and days, for each sign of the zodiac there are suitable colors. For twins, these are all shades of gray, silver. These colors have a powerful vibration for air element representatives. Gemini are recommended to have clothes and shoes of the specified shades in the wardrobe. Happy for signs of signs with flowers is also purple, light yellow, orange. But the green shades are better to avoid.

    For some figures bring good luck, success and vitality, others are trying to avoid them. For twins, a successful number 7. And for the Chinese, this figure is frightened. The thing is that in China, the seven is associated with death and anger. The seventh month is called "the month of spirits". Residents of the country are confident that these 30 days the spirits live among people. In 2014, terrible events took place in China for 7 days. It began on July 17th. From this day, planes were crashes in Ukraine, in Taiwan, Mali. The Military Helicopter India fell at 17:00 (crashed 7 passengers). Vietnamese helicopter Mi-171 crashed on July 7 at 7:37. Boeing 777, broken over Ukraine, was operated 17 years old (1997 - 2014). Well, how not to believe in the magic of numbers after such events? It is worth emphasizing that the seven is a mystical number and is responsible for spirituality. No wonder there is a saying "Seven times will die ...", sticking about 7 underground kings.

    The effect of figures on life can always be checked: experiment with luck and luck. Astrologers argue that the competent use of numbers can change life for the better, filling it with a secret meaning.

    Differ in 2.

    All pairs of simple twins, except (3, 5) have the appearance.

    The first simple twin numbers:

    (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73), (101, 103), (107, 109), (137, 139), (149, 151), (179, 181), (191, 193), (197, 199), (227, 229), (239, 241), (269, 271), (281, 283), (311, 313), (347, 349), (419, 421), (431, 433), (461, 463), (521, 523), (569, 571), (599, 601), (617, 619), (641, 643), (659, 661), (809, 811), (821, 823), (827, 829), (857, 859), (881, 883)

    At the moment, the largest famous twins are numbers.

    It is assumed that such pairs are infinitely a lot, but it is not proven. According to Hardy-Littlewood hypothesis, the amount of π 2 ( x.) pairs of simple twins, not exceeding x, asymptotically approaches

    where C. 2 - Constant Simple-twins:

    Theorem Bruna

    Viggo Brun in 1919 proved that and a number of reverse quantities converge

    This means that if simple twins and are infinitely a lot, then they are still located in a natural row rather rarely.

    The value is called constant Bruuna For ordinary twins.

    Subsequently, the convergence of a similar range for generalized simple twins was proved.

    Lists

    The biggest famous simple twins

    Simple Triplets

    This is a triple of various simple numbers, the difference between the greatest and the smallest of which is minimal. The smallest, simple numbers corresponding to a given condition are - (2, 3, 5) and (3, 5, 7). This pair of triplets is exceptional, since, in all other cases, the difference between the first and third member is six. Generalized, the sequence of simple numbers (p, p + 2, p + 6) or (p, p + 4, p + 6) is called a triplet.

    The first simple number-triplets:

    (5, 7, 11), (7, 11, 13), (11, 13, 17), (13, 17, 19), (17, 19, 23), (37, 41, 43), (41 , 43, 47), (67, 71, 73), (97, 101, 103), (101, 103, 107), (103, 107, 109), (107, 109, 113), (191, 193 , 197), (193, 197, 199), (223, 227, 229), (227, 229, 233), (277, 281, 283), (307, 311, 313), (311, 313, 317), (347, 349, 353), (457, 461, 463), (461, 463, 467), (613, 617, 619), (641, 643, 647), (821, 823, 827), (823, 827, 829), (853, 857, 859), (857, 859, 863), (877, 881, 883), (881, 883, 887)

    At the moment, the largest well-known simple-triplets are numbers:

    (p., p.+2, p.+6) where p. \u003d 2072644824759 × 2 33333 - 1 (10047 NIGHTS, NOVEMBER, 2008, NORMAN LUHN, FRANçOIS MORAIN, FASTECPP)

    see also

    • The sequences of A001359 and A006512 from the encyclopedia of numerical sequences.

    Wikimedia Foundation. 2010.

    Watch what is "Simple Gemini" in other dictionaries:

      Simple numbers twins are a pair of prime numbers different from 2. All pairs of simple twins, except (3, 5) have the form. The first simple numbers of Gemini: (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73), (101, 103), (107, ... ... Wikipedia

      Simple numbers twins, or paired simple numbers of pairs of prime numbers, differing at 2. Contents 1 General information 2 Bruna theorem 3 lists ... Wikipedia

      Simple twins, two simple numbers with a difference of 2. Generalized twins of a pair of adjacent simple numbers with a difference 2T, where t fixed natural number. Using the table of prime numbers, it is easy to specify examples B. It is 3 and 5, 5 and 7, 11 and 13 ... Mathematical encyclopedia

      Simple numbers, characterized by six pair of prime numbers of the form "P, P + 6". For example, those are 5 and 11. In English for such pairs of numbers, the term "Sexy Primes" (English Sexy Sexy, exciting, ... ... Wikipedia

      This page contains a list of the first 500 prime numbers as well as some other simple numbers. CONTENTS 1 The first 500 prime numbers 2 Simple numbers Bella ... Wikipedia

      Science of integers. The concept of an integer (see number), as well as arithmetic operations over the numbers known since ancient times and is one of the first mathematical abstractions. Special place among integers, i.e. numbers ..., 3 ... Great Soviet Encyclopedia

      About simple twins: a number converges if all simple twins are rope. This means that if simple twins and are infinitely a lot, then they are still located in a natural row rather rarely. Theorem was proved by V.R. Subsequently, it was ... ... Mathematical encyclopedia

      Unresolved problems (or open problems) problems considered by mathematicians, but still not solved. Often take the form of hypotheses that are allegedly true, but need proof. Practice is popular in the scientific world ... ... Wikipedia

      Unresolved problems (or open problems) problems considered by mathematicians, but still not solved. Often take the form of hypotheses that are allegedly true, but need proof. Practice is popular in the scientific world ... ... Wikipedia

    Books

    • Your family finances. Simple ways to earn, save, invest
    • Family finances. Simple ways to earn, save, invest. Step-by-step technique with practical tasks from the organizer of four clubs R. Kiyosaki Vodgorod Moscow, Eusthegneyev Alexander Nikolaevich. This book is for those once and forever decided to bring order in your life and finance. That is why it is published for the third time and brings a constant and predictable result to everyone - outside ...

    Gemini in 2019 will bring good luck numbers 2 and 4. Also a positive impact on the events in the life of the zodiac sign described by the zodiac will have combinations of these numbers and multiple them numbers - in each month others. They can meet anywhere - in dates, time, phone numbers, cars, houses and apartments. It is important to see these signs and perceive them as a guide to action.
    In January, the most successful for twins will be the number 8 and 16. The first will help to establish relationships with friends and loved ones, and the second will allow you to enter the working rhythm after the delayed holidays, and perhaps and will ask the promotion.
    From the first day of February, it should be especially attentive to the numbers 12 and 24. They will become for the twins this month symbols of the fact that it is not worth "running ahead of the steam locomotive", showing an excessive initiative, it is better to achieve the goals set slowly, but right.
    Progress in the pretty relations frozen in one place will occur among the representatives of this sign of the zodiac in March. They will notice them to notify the beginning to meet in literally at every step of the figure 6. And the number 18 will warn about what should be careful in financial affairs.
    April will be marked for twins with a small decay of forces. The number 20 will recall that now it's time to do health. But if there will be many numbers in life to appear 22 - it means it has come to show activity: on the horizon - good earnings.
    Since the beginning of May, special attention should be paid to the number 46 - it will become for you this month symbol of global changes in life. If you plan to move - assign it on May 14, you won't lose, next to this number it will be in May you will be accompanied by luck.
    A good month for the twins will be June 2019. Trips, travel, important meetings and other similar events will be under the auspices of the numbers of the fortune of this month - 30 and 64.
    Since July, representatives of this sign of the zodiac can begin to prepare for vacation and choose a place to relax. If the number 28 will pay your attention in the process of choosing the number 28, boldly solve - it will be successful for you. And the number 18 will help to establish family relationships.
    August for twins - the time of gradual return from a relaxed state to the worker. This will help him with the personal numbers of the fortune of this month - 32 and 54.
    But the numbers 44 and 38 will patronize the success of the wards of this zodiacal constellation in September: they will help save cheerlery and good health, as well as establish communication even with the most complex interlocutors.
    That during the whole of October, the twins everything remained in Outlook, loyal numeric assistants will take care: 88 will bring good luck in work or hobby, and 72 will allow you to get out of the ill-influence of the unkind person.
    Starting from November, representatives of the zodiac constellation Gemini will have to sum up the past year. Yes, so in advance. And it is better to do it next to the numbers 34 and 56. The first will help to deal with the collapse at work, the second - with family troubles.
    In the last month of the year, this sign will not remain without patrons. Numeric symbols of Fortune This month is the eight, thanks to which you will not meet New Year's holidays with empty pockets, as well as the number 58 - it will help to deal with household and family matters quickly and efficiently.