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 A115785 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)). 1
 5, 13, 43, 229, 3463, 43789, 1088449, 19800379, 264333259, 9348884059, 228178314439, 7931712374479, 307867708410673, 13230211614496609, 618681508598750923 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 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. LINKS G. L. Honaker, Jr. and Chris Caldwell, Prime Curios! 313 C. Rivera, Puzzle 350. Primes & primorials. 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. CROSSREFS Cf. A002110, A006512, A115786 (for p + p(i)#). Sequence in context: A147259 A183315 A183184 * A218926 A113835 A006349 Adjacent sequences:  A115782 A115783 A115784 * A115786 A115787 A115788 KEYWORD more,nonn AUTHOR Rick L. Shepherd, Jan 31 2006 EXTENSIONS a(10) from Don Reble (djr(AT)nk.ca), Feb 15 2006 More terms from Jens Kruse Andersen, Feb 26 2006 STATUS approved

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Last modified June 20 05:50 EDT 2013. Contains 226419 sequences.