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Regular prime information


Unsolved problem in mathematics:

Are there infinitely many regular primes, and if so, is their relative density ?

(more unsolved problems in mathematics)

In number theory, a regular prime is a special kind of prime number, defined by Ernst Kummer in 1850 to prove certain cases of Fermat's Last Theorem. Regular primes may be defined via the divisibility of either class numbers or of Bernoulli numbers.

The first few regular odd primes are:

3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 43, 47, 53, 61, 71, 73, 79, 83, 89, 97, 107, 109, 113, 127, 137, 139, 151, 163, 167, 173, 179, 181, 191, 193, 197, 199, ... (sequence A007703 in the OEIS).

and 24 Related for: Regular prime information

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Regular prime

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Unsolved problem in mathematics: Are there infinitely many regular primes, and if so, is their relative density e − 1 / 2 {\displaystyle e^{-1/2}} ? (more...

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Regular

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"small" p-groups Regular prime, a prime number p > 2 that does not divide the class number of the p-th cyclotomic field The regular representation of...

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Amazon Prime

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Amazon Prime (styled as Prime) is a paid subscription service of Amazon which is available in various countries and gives users access to additional services...

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List of prime numbers

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This is a list of articles about prime numbers. A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than...

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Prime number

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A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that...

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5

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and is a prime number. Five is the third-smallest prime number, equal to the sum of the only consecutive positive integers to also be prime numbers (2...

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Canon regular

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particular house and their prime focus is on pastoral work rather than a choral office. According to St. Thomas Aquinas, a canon regular is essentially a religious...

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List of heads of government of Ethiopia

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of the prime ministers of Ethiopia were regular prime ministers, appointed through a regular political process. Some others were acting prime ministers...

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2

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important in the constructability of regular polygons using basic tools (e.g., through the use of Fermat or Pierpont primes). 2 {\displaystyle 2} is the only...

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Regular polygon

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a regular polygon is a tangential polygon. A regular n-sided polygon can be constructed with compass and straightedge if and only if the odd prime factors...

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Regular number

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Regular numbers are numbers that evenly divide powers of 60 (or, equivalently, powers of 30). Equivalently, they are the numbers whose only prime divisors...

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7

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prime, a Woodall prime, a factorial prime, a Harshad number, a lucky prime, a happy number (happy prime), a safe prime (the only Mersenne safe prime)...

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Prime minister

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A prime minister or chief of cabinet is the head of the cabinet and the leader of the ministers in the executive branch of government, often in a parliamentary...

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Ernst Kummer

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proved Fermat's Last Theorem for a considerable class of prime exponents (see regular prime, ideal class group). His methods were closer, perhaps, to...

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Regular temperament

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In studying regular temperaments, it can be useful to regard the temperament as having a map from p-limit just intonation (for some prime p) to the set...

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Regular representation

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complex numbers) the regular representation of G is completely reducible, provided that the characteristic of K (if it is a prime number p) doesn't divide...

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10

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alone; the first regular polygon unable to do so is the eleven-sided hendecagon. While the regular decagon cannot tile alongside other regular figures, ten...

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List of elected and appointed female heads of state and government

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female heads of government who are not concurrently head of state, such as prime ministers. The list does not include Queens regnant who are heads of state...

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Jessica Savitch

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programming, serving as a regular panel member on Meet The Press, contributing to the news magazine programs Prime Time Saturday and Prime Time Sunday, and contributing...

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Ideal class group

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unity, for any prime number p, as the reason for the failure of the standard method of attack on the Fermat problem (see regular prime). Somewhat later...

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List of regular polytopes

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are coprime (as such, all stellations of a polygon with a prime number of sides will be regular stars). Symbols where m and n are not coprime may be used...

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TNBC

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failure on the network's poor performance among younger viewers in its regular prime time program lineup, leaving no opportunity to promote children's programming...

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Politics of Bangladesh

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government is headed by a Chief Adviser who enjoys the same power as the regular prime minister of the country except defense matters. The Advisors function...

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Regular polytope

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the fractional value {n/m}, where n and m are co-prime, so a regular pentagram is {5/2}. A regular polyhedron having faces {n} with p faces joining around...

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