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A065315 Smallest prime divisor of n-th primorial + (n+1)-st prime. 1
5, 11, 37, 13, 23, 30047, 510529, 9699713, 127, 107, 433, 1093, 375569, 13082761331670077, 941879, 32589158477190044789, 1922760350154212639131, 4129, 92388407, 5879, 40729680599249024150621323549, 1783, 4903, 10279098043, 191, 131, 109, 163, 337, 20261, 673327, 6599, 181 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..33.

R. Mestrovic, Euclid's theorem on the infinitude of primes: a historical survey of its proofs (300 BC--2012) and another new proof, arXiv preprint arXiv:1202.3670, 2012 - From N. J. A. Sloane, Jun 13 2012

FORMULA

a(n) = A020639(A002110(n)+A000040(n+1)).

EXAMPLE

n=3, 3rd primorial=30, prime(4)=7,sum=37, a(3)=37.

PROG

(PARI) a(n) = vecmin(factor(prod(i=1, n, prime(i)) + prime(n+1))[, 1]); \\ Michel Marcus, Aug 29 2019

CROSSREFS

Cf. A002110, A000040, A006530, A006530, A057713, A002584, A002585, A051342 A065314-A065317.

Sequence in context: A188161 A323352 A005178 * A065317 A171268 A152563

Adjacent sequences:  A065312 A065313 A065314 * A065316 A065317 A065318

KEYWORD

nonn

AUTHOR

Labos Elemer, Oct 29 2001

EXTENSIONS

More terms from Michel Marcus, Aug 29 2019

STATUS

approved

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Last modified October 14 15:14 EDT 2019. Contains 328019 sequences. (Running on oeis4.)