id:A078653 - OEIS Search Results

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a(n) = prime(k) where k = n-th prime congruent to 1 mod 4.

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11, 41, 59, 109, 157, 179, 241, 283, 367, 461, 509, 547, 599, 617, 773, 859, 919, 1031, 1087, 1171, 1201, 1447, 1471, 1523, 1621, 1723, 1787, 1823, 1913, 2081, 2099, 2269, 2351, 2381, 2549, 2683, 2719 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Sum 1/a(n) appears to converge albeit slowly.`
	PROGRAM	`(PARI) pip(n, m, r) = {sr=0; forprime(x=3, n, if(x%m == r, v=prime(x); sr+=1.0/v; print1(v" "); ) ); print(); print("m="m" r="r" sr="sr); }`
	CROSSREFS	`Cf. A006450, A078654.` `Sequence in context: A065049 A158201 A122015 this_sequence A040167 A040170 A085564` `Adjacent sequences: A078650 A078651 A078652 this_sequence A078654 A078655 A078656`
	KEYWORD	`easy,nonn`
	AUTHOR	`Cino Hilliard (hillcino368(AT)gmail.com), Dec 14 2002`

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.

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