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A115785
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Smallest prime number p such that p - p(1)#, p - p(2)#, ..., p - p(n)# are all prime, where p(i)# is the primorial of the i-th prime (A002110(i)).
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1
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5, 13, 43, 229, 3463, 43789, 1088449, 19800379, 264333259, 9348884059, 228178314439, 7931712374479, 307867708410673, 13230211614496609, 618681508598750923
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Subset of A006512 (greater of twin primes).
Inspired by C. Rivera's Prime Curio for 313. a(4) = 229 is the smallest prime having the same property he states for 313.
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LINKS
| G. L. Honaker, Jr. and Chris Caldwell, Prime Curios! 313
C. Rivera, Puzzle 350. Primes & primorials.
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EXAMPLE
| a(4) = 229 because 229, 229 - 2, 229 - 2*3, 229 - 2*3*5 and 229 - 2*3*5*7 are all prime and there is no smaller prime with this property.
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CROSSREFS
| Cf. A002110, A006512, A115786 (for p + p(i)#).
Sequence in context: A147259 A183315 A183184 * A113835 A006349 A052899
Adjacent sequences: A115782 A115783 A115784 * A115786 A115787 A115788
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KEYWORD
| more,nonn
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AUTHOR
| Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jan 31 2006
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EXTENSIONS
| a(10) from Don Reble (djr(AT)nk.ca), Feb 15 2006
More terms from Jens Kruse Andersen (jens.k.a(AT)get2net.dk), Feb 26 2006
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