A057824 Primes p such that p+1 is LCM(1,...,m) for some (usually more than one) m.

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

Amiram Eldar, Table of n, a(n) for n = 1..23

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

Cf. A003418, A051451, A049536, A049537.

Sequence in context: A104364 A136669 A208768 * A057822 A168243 A173875

Adjacent sequences: A057821 A057822 A057823 * A057825 A057826 A057827

Keyword

nonn

Author

Labos Elemer, Nov 08 2000

Status

approved