

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 ith prime (A002110(i)).


1



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



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



KEYWORD

more,nonn


AUTHOR



EXTENSIONS



STATUS

approved



