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Encyclopedia > Lucky prime

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A lucky prime is a number that is a prime number and a lucky number. The first few lucky primes are In mathematics, a prime number (or prime) is a natural number greater than one whose only positive divisors are one and itself. ... This article is about the formal mathematical concept defined by Stanislaw Ulam; a discussion of the more common meaning is also available. ...


3 7 13 31 37 43 67 73 79 127 151 163 193 211 223 241 283 307 331 349 367 409 421 433 463 487 541 577 601 613 619 631 643 673 727 739 769 787 823 883 937 991 997 1009 1+1 ... 7 (seven) is the natural number following 6 and preceding 8. ... 13 (Thirteen) is the natural number following 12 and preceding 14. ... 31 is the natural number following 30 and preceding 32. ... 37 is the natural number following 36 and preceding 38. ... 43 is the natural number following 42 and preceding 44. ... 67 is the natural number following 66 and preceding 68. ... 73 is the natural number following 72 and preceding 74. ... 79 is the natural number following 78 and preceding 80. ... 127 is the natural number following 126 and preceding 128. ...


It is not known whether there are infinitely many lucky primes.


Twin lucky primes occur less often than twin primes in general, but in a similar proportion. Twin primes are primes which are separated by two (example 5 and 7); these are only rare due to the methods by which lucky numbers are determined. A twin prime is a prime number that differs from another prime number by two. ...


  Results from FactBites:
 
math lessons - Lucky number (336 words)
A lucky number is a natural number in a set which is generated by a "sieve" similar to the Sieve of Eratosthenes that generates the primes.
Lucky numbers share some properties with primes, such as asymptotic behaviour according to the prime number theorem; also Goldbach's conjecture has been extended to them.
Sloane, Neil J. A sequence of lucky primes - A031157: http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=031157
Lucky prime - Wikipedia, the free encyclopedia (147 words)
A lucky prime is a number that is a prime number and a lucky number.
Twin lucky primes occur less often than twin primes in general, but in a similar proportion.
Twin primes are primes which are separated by two (example 5 and 7); these are only rare due to the methods by which lucky numbers are determined.
  More results at FactBites »

 

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