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A094709 Smallest k such that prime(n)# - k and prime(n)# + k are primes, where prime(n)# = A002110(n). +0
3
0, 1, 1, 13, 1, 17, 59, 23, 79, 101, 83, 239, 71, 149, 367, 73, 911, 313, 373, 523, 313, 331, 197, 101, 1493, 523, 293, 577, 2699, 1481, 1453, 5647, 647, 419, 757, 4253, 509, 239, 10499, 191, 4013, 2659, 617, 6733, 1297, 971 (list; graph; listen)
OFFSET

1,4

COMMENT

a(n) = A002110(n) - A094710(n) = A094711(n) - A002110(n),

Goldbach's conjecture implies that a(n) is defined for all n. - David Wasserman (dwasserm(AT)earthlink.net), May 31 2007

LINKS

David Wasserman, Table of n, a(n) for n = 1..250

EXAMPLE

a(4)=13 because prime(4)=7, 7# = 2*3*5*7 = 210, and 210-13 and 210+13 are primes.

CROSSREFS

Cf. A078611.

Sequence in context: A010236 A058018 A037283 this_sequence A040181 A123187 A046733

Adjacent sequences: A094706 A094707 A094708 this_sequence A094710 A094711 A094712

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), May 21 2004

EXTENSIONS

More terms from Don Reble (djr(AT)nk.ca), May 27 2004

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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