id:A136288 - OEIS Search Results

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Primes which are the absolute value of the alternating sum and difference of the first n primes.

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2, 3, 5, 7, 13, 19, 29, 53, 61, 71, 79, 83, 97, 103, 113, 139, 149, 151, 157, 163, 167, 191, 199, 233, 251, 281, 337, 347, 353, 397, 421, 433, 461, 563, 599, 643, 719, 773, 797, 811, 859, 883, 953, 977, 1031, 1039, 1061, 1063, 1091, 1097, 1153, 1187, 1201, 1213 (list; graph; listen)

	OFFSET	`1,1`
	LINKS	`Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Mar 20 2008, Table of n, a(n) for n = 1..144`
	FORMULA	`A000040 INTERSECT A008347. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 04 2008`
	EXAMPLE	`5 = abs(2-3+5-7+11-13) (first 6 primes)` `7 = abs(2-3+5-7+11-13+17-19) (first 8 primes)` `etc.`
	MAPLE	`P:=proc(n) local i, s; s:=0; for i from 1 by 1 to n do s:=s+(-1)^i*ithprime(i); if isprime(abs(s)) then print(abs(s)); fi; od; end: P(1000);`
	CROSSREFS	`Cf. A013918.` `Adjacent sequences: A136285 A136286 A136287 this_sequence A136289 A136290 A136291` `Sequence in context: A072467 A062326 A066076 this_sequence A088091 A101045 A114847`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Mar 20 2008`

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Last modified January 7 17:35 EST 2009. Contains 152824 sequences.

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