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A095245 revision #6

A095245

(Concatenation of first n primes) modulo prime(n).

0, 2, 0, 5, 3, 7, 15, 16, 21, 27, 7, 11, 17, 21, 37, 7, 28, 10, 50, 70, 70, 23, 46, 20, 76, 93, 81, 52, 1, 58, 87, 54, 100, 128, 39, 10, 117, 16, 42, 89, 98, 61, 135, 123, 13, 89, 201, 147, 124, 176, 186, 202, 71, 74, 256, 228, 137, 84, 145

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..58.

EXAMPLE

The concatenation of the first 3 primes is 235. The third prime is 5. Therefore a(3) = 235 mod 5 = 0.

MATHEMATICA

a = {2}; b = {0}; For[n = 2, n < 100, n++, a = Flatten[Join[a, IntegerDigits[ Prime[n]]] ]; AppendTo[b, Mod[FromDigits[a], Prime[n]]]]; b

Table[Mod[FromDigits[Flatten[IntegerDigits/@Prime[Range[n]]]], Prime[n]], {n, 60}] (* Harvey P. Dale, May 30 2018 *)

CROSSREFS

Cf. A095243.