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)).

5, 13, 43, 229, 3463, 43789, 1088449, 19800379, 264333259, 9348884059, 228178314439, 7931712374479, 307867708410673, 13230211614496609, 618681508598750923

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

Table of n, a(n) for n=1..15.

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: A328740 A183315 A183184 * A218926 A360798 A113835

Adjacent sequences: A115782 A115783 A115784 * A115786 A115787 A115788

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