A241244 - OEIS

A241244

Primes obtained by merging 4 successive digits in decimal expansion of sqrt(5).

6067, 7499, 8969, 4091, 9173, 8731, 5209, 9941, 2749, 4969, 5081, 5077, 773, 4253, 2677, 4447, 3863, 2153, 7817, 3191, 9187, 1879, 6581, 8053, 1753, 5003, 2339, 9241, 3253, 2539, 2887, 6299, 8161, 7759, 2371, 3907, 7297, 8641, 2689, 4099, 991, 3169, 1693, 7019

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

OFFSET

1,1

COMMENTS

Some terms in the sequence have fewer than 4 digits because leading zeros are permitted.

LINKS

K. D. Bajpai, Table of n, a(n) for n = 1..2940

EXAMPLE

a(1) = 6067 which is prime. It is the first occurrence of 4 successive digit prime in decimal expansion of sqrt(5), i.e., 2.23(6067)9774997896964091736687312762354...

MATHEMATICA

t=Sqrt[5]; With[{k=FromDigits/@Partition[RealDigits[t, 10, 25000][[1]], 4, 1]}, Select[k, PrimeQ]]

CROSSREFS

Cf. A198161, A198162, A198163, A198164, A198169, A241149.

Sequence in context: A209552 A238042 A251818 * A241245 A260105 A084804

Adjacent sequences: A241241 A241242 A241243 * A241245 A241246 A241247

KEYWORD

nonn,base

AUTHOR

K. D. Bajpai, Apr 18 2014

STATUS

approved