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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
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: A328740 A183315 A183184 * A218926 A360798 A113835
KEYWORD
more,nonn
AUTHOR
Rick L. Shepherd, Jan 31 2006
EXTENSIONS
a(10) from Don Reble, Feb 15 2006
More terms from Jens Kruse Andersen, Feb 26 2006
STATUS
approved

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Last modified February 26 11:46 EST 2024. Contains 370352 sequences. (Running on oeis4.)