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 A034926 Numbers n such that 101^n-100 is prime. 0
 3, 7, 9, 19, 29, 99, 145, 623, 3001, 6225 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Related to hyperperfect numbers of a certain form. 101^623-100, a 1249-digit number, has been certified prime with Primo. - Rick L. Shepherd, Jun 21 2002 a(10) > 6100. - Michael S. Branicky, Mar 07 2021 LINKS Table of n, a(n) for n=1..10. J. S. McCranie, A study of hyperperfect numbers, J. Int. Seqs. Vol. 3 (2000) #P00.1.3. MATHEMATICA Do[ If[ PrimeQ[101^n - 100], Print[n]], {n, 1, 1850}] PROG (PARI) is(n)=ispseudoprime(101^n-100) \\ Charles R Greathouse IV, Jun 13 2017 (Python) from sympy import isprime def aupto(lim): return [k for k in range(lim+1) if isprime(101**k-100)] print(aupto(625)) # Michael S. Branicky, Mar 07 2021 CROSSREFS Sequence in context: A073573 A309328 A059621 * A224849 A304128 A304539 Adjacent sequences: A034923 A034924 A034925 * A034927 A034928 A034929 KEYWORD nonn,more AUTHOR Jud McCranie EXTENSIONS Edited and extended by Robert G. Wilson v, Jun 18 2002 a(9) from Michael S. Branicky, Mar 07 2021 a(10) from Michael S. Branicky, Jan 12 2023 STATUS approved

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Last modified May 28 02:01 EDT 2023. Contains 362992 sequences. (Running on oeis4.)