id:A074965 - OEIS Search Results

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Primes p for which there is an integer k such that (2*k+1)*p=2*k*q+1, where q is the next prime after p. Equivalently, (p-1)/(2*(q-p)) is an integer.

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5, 17, 29, 41, 61, 73, 97, 101, 113, 137, 149, 157, 181, 193, 197, 241, 269, 281, 313, 373, 401, 421, 433, 449, 457, 461, 521, 541, 569, 601, 617, 641, 673, 733, 769, 809, 821, 857, 881, 929, 937, 953, 1009, 1021, 1033, 1049, 1061, 1117, 1201, 1229, 1277 (list; graph; listen)

	OFFSET	`1,1`
	MATHEMATICA	`Prime/@Select[Range[210], IntegerQ[(Prime[ # ]-1)/2/(Prime[ #+1]-Prime[ # ])]&]`
	CROSSREFS	`Sequence in context: A040117 A145471 A126193 this_sequence A145475 A071695 A027703` `Adjacent sequences: A074962 A074963 A074964 this_sequence A074966 A074967 A074968`
	KEYWORD	`nonn`
	AUTHOR	`Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Oct 05 2002`
	EXTENSIONS	`Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Oct 08 2002`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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