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A092945 Group the natural numbers so that the n-th group contains n numbers whose sum as well as the group product + 1 is prime. Sequence contains the last term of each group. +0
10
2, 4, 10, 9, 23, 28, 29, 47, 115, 71, 88, 214, 215, 188, 341, 133, 220, 372, 250, 321, 227, 311, 281, 310, 592, 857, 691, 406, 470, 483, 904, 903, 707, 601, 876, 727, 726, 1299, 828, 925, 1217, 1254, 963, 1426, 1213, 1394, 2108, 1356, 1448, 1286, 1564, 1455 (list; graph; listen)
OFFSET

1,1

COMMENT

Sequence is underdefined. The original author may have intended to say that the terms must be distinct and minimal; perhaps he should clarify. - Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 22 2006

See A092944 for additional clarification of definition.

EXAMPLE

a(6) = 28 because 15+16+17+18+19+28 = 113 is prime and 15*16*17*18*19*28 + 1 = 39070081 is prime.

CROSSREFS

Cf. A092944, A092946, A092947.

Sequence in context: A130334 A124108 A097211 this_sequence A056376 A136818 A029984

Adjacent sequences: A092942 A092943 A092944 this_sequence A092946 A092947 A092948

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 23 2004

EXTENSIONS

a(6) from Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 22 2006

Edited and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), May 07 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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