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A067530 Numbers k such that k - m! is a prime or 1 for all m > 1 and k > m!. 0

%I #8 Dec 18 2023 22:32:38

%S 3,4,5,7,9,13,19,25,43,85,103,133,403,763,943,1573,1603,2713,5233,

%T 26023,37363,177133,186043,276043,277603,305863,968833,1449313,

%U 1540033,5854363,6013873,26114323,35088793,291865753,724927333

%N Numbers k such that k - m! is a prime or 1 for all m > 1 and k > m!.

%C Is the sequence finite?

%C Next term, if it exists, exceeds 6*10^9. - _Sean A. Irvine_, Dec 18 2023

%e 85 is a term as 85 - 2!, 85 -3!, 85-4! or 83,79 and 61 are primes.

%Y Cf. A067526, A067527, A067528.

%K nonn

%O 1,1

%A _Amarnath Murthy_, Feb 17 2002

%E More terms from _Sascha Kurz_, Mar 19 2002

%E Offset corrected and a(33)-a(34) from _Sean A. Irvine_, Dec 18 2023

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Last modified June 17 07:50 EDT 2024. Contains 373433 sequences. (Running on oeis4.)