A226041 Primes generated by concatenation of three consecutive numbers divided by three.

41, 263, 50539, 64007, 151549, 191953, 205421, 232357, 252559, 266027, 272761, 306431, 326633, 35035369, 39039373, 52386053, 62396063, 70404071, 77077411, 82416083, 96430097, 103103437, 106440107, 110444111

Offset

1,1

Links

Table of n, a(n) for n=1..24.

Example

41 is in the list since concatenation of 1, 2 and 3 gives 123/3 = 41. Similarly concatenation of 15, 16 and 17 gives 151617 and 151617/3 = 50539, a prime.

Mathematica

Select[Table[FromDigits[Flatten[IntegerDigits[n + Range[-1, 1]]]]/3, {n, 350}], PrimeQ]

Crossrefs

Cf. A001703.

Sequence in context: A275180 A275128 A142113 * A233406 A020866 A142690

Adjacent sequences: A226038 A226039 A226040 * A226042 A226043 A226044

Keyword

nonn,base

Author

Jayanta Basu, May 24 2013

Status

approved