A295004 The number of seconds after midnight (3600*H + 60*MM + SS) corresponding to prime time numbers A295014, i.e., numbers of the form HMMSS with primes H < 24 and MM, SS < 60.

7322, 7323, 7325, 7327, 7331, 7333, 7337, 7339, 7343, 7349, 7351, 7357, 7361, 7363, 7367, 7373, 7379, 7382, 7383, 7385, 7387, 7391, 7393, 7397, 7399, 7403, 7409, 7411, 7417, 7421, 7423, 7427, 7433, 7439, 7502, 7503, 7505, 7507, 7511, 7513, 7517, 7519, 7523

Offset: 1

Author

M. F. Hasler, Jan 15 2018

Keywords

• nonn
• base
• fini
• full

Comments

See A295003 for the subsequence of terms which correspond to "prime time primes" (cf. A295013), and A295002 for the primes among these.

This is to A295014 what is A295003 to A295013, or what is A118848 to A050246, or what is A118850 to A118849.

Links

• M. F. Hasler, Table of n, a(n) for n = 1..2601 (complete sequence).

Crossrefs

Cf. A295014, A295003, A295013, A295011, A295002, A295000; A050246, A159911, A229106; A118848, A118849, A118850.

Programs

Mathematica

With[{s = Prime@ Range@ PrimePi@ 60}, NumberCompose[{#1, #2, #3}, {3600, 60, 1}] & @@ # & /@ Tuples@ {TakeWhile[s, # < 24 &], s, s}] (* Michael De Vlieger, Jan 21 2018 *)

PARI

apply( A292579, A295014) \\ convert prime time numbers to seconds

Formula

a(n) = A292579(A295014(n))