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A018239 Primorial primes: form product of first k primes and add 1, then reject unless prime. 22
2, 3, 7, 31, 211, 2311, 200560490131, 1719620105458406433483340568317543019584575635895742560438771105058321655238562613083979651479555788009994557822024565226932906295208262756822275663694111 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Prime numbers that are the sum of two primorial numbers. - Juri-Stepan Gerasimov, Nov 08 2010

REFERENCES

F. Iacobescu, Smarandache Partition Type and Other Sequences, Bull. Pure Appl. Sciences, Vol. 16E, No. 2 (1997), pp. 237-240.

LINKS

Table of n, a(n) for n=1..8.

M. Fleuren, Factors and primes of Smarandache sequences.

M. Fleuren, Smarandache Prime Product Sequence.

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

F. Smarandache, Sequences of Numbers Involved in Unsolved Problems.

R. Ondrejka, Primorial-Plus-One Primes

MATHEMATICA

Select[FoldList[Times, 1, Prime[Range[200]]] + 1, PrimeQ]. - Loreno Heer (helohe(AT)bluewin.ch), Jun 29 2004

CROSSREFS

Primes in A006862 (primorials plus 1).

A005234 and A014545 (which are the main entries for this sequence) give more terms.

Cf. A002110.

Sequence in context: A241196 A073918 A096350 * A066279 A161471 A057677

Adjacent sequences:  A018236 A018237 A018238 * A018240 A018241 A018242

KEYWORD

nonn,nice

AUTHOR

Murray R. Bremner

EXTENSIONS

Edited by N. J. A. Sloane at the suggestion of Vladeta Jovovic, Jun 18 2007

STATUS

approved

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Last modified December 18 06:31 EST 2014. Contains 252079 sequences.