A095245 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

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.