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A113735 Let prime(0) = 1 and f(n) = product prime(d), where d ranges over all the decimal digits of n. The sequence gives numbers n such that f(n) == 0 (mod n). 1

%I #15 May 07 2019 23:32:40

%S 1,14,17,154,1196,26979,66079,279174,1698619,9397685,302768895,

%T 594963655,2249805789,6794867989,9785759929,75077778589,

%U 67471872963495,34976979277935695,275776822479793635,459267544887917766,34678475798796583278525

%N Let prime(0) = 1 and f(n) = product prime(d), where d ranges over all the decimal digits of n. The sequence gives numbers n such that f(n) == 0 (mod n).

%t f[n_] := Times @@ (IntegerDigits[n] /. {0 -> 1, 1 -> 2, 2 -> 3, 3 -> 5, 4 -> 7, 5 -> 11, 6 -> 13, 7 -> 17, 8 -> 19, 9 -> 23}); Do[ If[ Mod[ f[n], n] == 0, Print[n]], {n, 10^8}]

%Y Cf. A113581. Superset of A097227.

%K base,more,nonn

%O 1,2

%A _Amarnath Murthy_ and _Robert G. Wilson v_, Nov 08 2005

%E a(11)-a(16) from _Giovanni Resta_, Aug 09 2017

%E a(17)-a(21) from _Chai Wah Wu_, May 07 2019

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)