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A057824
Primes p such that p+1 is LCM(1,...,m) for some (usually more than one) m.
4
5, 11, 59, 419, 839, 232792559, 5354228879, 2329089562799, 144403552893599, 442720643463713815199, 591133442051411133755680799, 69720375229712477164533808935312303556799
OFFSET
1,1
COMMENTS
Prime numbers of the form A051451(k)-1.
Primes p = LCM(1,...,m) - 1, where m is a prime power. (The prime powers give all values, and do so uniquely.) - Daniel Forgues, Apr 28 2014
LINKS
EXAMPLE
232792559 + 1 = LCM(1,...,m) for m = 19, 20, 21, 22.
MATHEMATICA
Select[FoldList[LCM, Select[Range[100], PrimePowerQ]] - 1, PrimeQ] (* Amiram Eldar, Aug 18 2024 *)
PROG
(PARI) L=1; for(n=2, 1e3, if(isprimepower(n, &p) && ispseudoprime((L*=p)-1), print1(L-1", "))) \\ Charles R Greathouse IV, Apr 28 2014
CROSSREFS
KEYWORD
nonn
AUTHOR
Labos Elemer, Nov 08 2000
STATUS
approved