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A104189 Prime numbers arising from Schorn's proof that there are infinitely many primes. 0
2, 3, 5, 7, 13, 19, 73, 97, 241, 601, 2161, 15121, 20161, 30241, 35281, 161281, 241921, 282241, 1088641, 1451521, 2177281, 2903041, 10886401, 18144001, 29030401, 32659201, 39916801, 199584001, 319334401, 958003201, 2395008001, 2874009601 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

Paolo Ribenboim, "The New Book of Prime Number Records", 1996, ISBN 0-387-94457-5 Page 5

LINKS

Table of n, a(n) for n=1..32.

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

Peter Schorn, Schorn's Proof

www.mathematic.de, Schorn's proof

FORMULA

n!*i+1, where 1 <= i <= n and n!*i+1 is a prime.

EXAMPLE

6!*3+1 = 2161

MATHEMATICA

lst={}; Do[lst=Join[lst, Select[n!Range[n]+1, PrimeQ]], {n, 12}]; lst - T. D. Noe, Nov 02 2006

CROSSREFS

Sequence in context: A147485 A341650 A341640 * A301776 A178570 A294443

Adjacent sequences:  A104186 A104187 A104188 * A104190 A104191 A104192

KEYWORD

nonn

AUTHOR

Karsten Meyer, Mar 12 2005; extended Jun 08 2005

EXTENSIONS

Corrected by T. D. Noe, Nov 02 2006

STATUS

approved

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Last modified December 5 00:21 EST 2021. Contains 349530 sequences. (Running on oeis4.)