id:A083391 - OEIS Search Results

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n-th Payam number E_{-}(n), defined as the smallest positive odd integer k such that for every positive integer n, the number k*2^n-1 is not divisible by any primes p such that the multiplicative order of 2 mod p is less than or equal to e.

+0
2

3, 3, 45, 45, 45, 45, 45, 45, 2145, 2805, 92235, 92235, 92235, 92235, 92235, 92235, 529815, 529815, 529815, 529815, 529815, 529815, 529815, 529815, 1426425, 1426425, 247016055, 247016055, 247016055, 247016055 (list; graph; listen)

	OFFSET	`2,1`
	COMMENT	`Payam numbers yield many primes of the form k2^n+1 (Proth primes) and k2^n-1.`
	LINKS	`Robert Smith, A coordinated search for primes in the Payam number series.` `Eric Weisstein's World of Mathematics, Payam Number`
	EXAMPLE	`E_{-}(4) = 45 because 45 is the smallest odd integer k such that for every nonnegative integer n, k*2^n-1 is not divisible by 3, 5, or 7, the only primes p for which the multiplicative order of 2 mod p is less than or` `equal to 4.`
	CROSSREFS	`Cf. A083556.` `Cf. A080076.` `Sequence in context: A082394 A086889 A059495 this_sequence A009809 A100065 A066807` `Adjacent sequences: A083388 A083389 A083390 this_sequence A083392 A083393 A083394`
	KEYWORD	`nonn`
	AUTHOR	`David Terr (davidcterr(AT)aol.com), Jun 11 2003`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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