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A059987
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Lucky numbers generated from primes.
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0
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2, 5, 11, 17, 31, 41, 47, 59, 73, 83, 103, 127, 137, 149, 157, 179, 197, 211, 233, 257, 269, 283, 307, 313, 331, 353, 367, 379, 389, 431, 449, 487, 499, 509, 547, 563, 571, 607, 617, 631, 661, 677, 691, 709, 739, 751, 823, 829, 853, 877, 883, 907, 919, 947
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Follow same procedure that is used to produce the lucky numbers A000959 except use primes instead of natural numbers.
Start with natural numbers, apply sieve of Eratosthenes, then sieve of Ulam. This is an example of composition of sieve operators. Circa 1955, Polish mathematician Stanislaw Ulam (1909-1984) identified a particular sequence which he designated "lucky numbers," which share many properties with primes (density, equivalent of twin primes, equivalent of Goldbach's conjecture). Other "random primes" which generalize the lucky numbers not only almost always satisfy the prime number theorem but also the Riemann Hypothesis. What can be said about composition of such "random primes"? - Jonathan Vos Post (jvospost3(AT)gmail.com), May 08 2007
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CROSSREFS
| Cf. A000040, A000959.
Sequence in context: A014424 A023228 A027429 * A027426 A133928 A126204
Adjacent sequences: A059984 A059985 A059986 * A059988 A059989 A059990
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KEYWORD
| easy,nonn
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AUTHOR
| Jason Earls (zevi_35711(AT)yahoo.com), Mar 13 2001
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EXTENSIONS
| Entry revised by N. J. A. Sloane (njas(AT)research.att.com), Oct 20 2007, at the suggestion of R. J. Mathar (mathar(AT)strw.leidenuniv.nl)
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