A385564 -id:A385564 - cp's OEIS frontend

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

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Labos Elemer, Nov 08 2000

nonn

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
This unique prime power m associated with a(n) is m = A385564(n). - Jeppe Stig Nielsen, Jul 09 2025

			232792559 + 1 = LCM(1,...,m) for m = 19, 20, 21, 22.

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

Cf. A003418, A051451, A049536, A049537, A385564.

Select[FoldList[LCM, Select[Range[100], PrimePowerQ]] - 1, PrimeQ] (* Amiram Eldar, Aug 18 2024 *)

L=1; for(n=2,1e3,if(isprimepower(n,&p) && ispseudoprime((L*=p)-1), print1(L-1", "))) \\ Charles R Greathouse IV, Apr 28 2014

cp's OEIS Frontend

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

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