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A153168 Primes p with property that 6p+1 is prime and uses only digits 2 and 3. 1
37, 5387, 537037, 37220537, 38870537, 3703870537, 5555555387, 55538720387, 370553872037, 370555370387, 372203887037, 387037038887, 387203705387, 388887053887, 537203703887, 538705553887, 538722205537, 538870538887, 553703722037, 553720538887 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Bill Hannaford and Harvey P. Dale, Table of n, a(n) for n = 1..1500 (first 40 terms from Bill Hannaford).

MATHEMATICA

(#-1)/6&/@Select[Flatten[Table[FromDigits/@Tuples[{2, 3}, n], {n, 13}]], AllTrue[ {#, (#-1)/6}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Dec 15 2015 *)

PROG

(PARI) okdig(n) = {digs = Set(digits(n)); (#digs == 2) && (digs[1] == 2) && (digs[2] == 3); }

lista(nn) = {p = 2; until (p > nn, if (isprime(q=6*p+1) && okdig(q), print1(p, ", ")); p = nextprime(p+1); ); } \\ Michel Marcus, Oct 15 2013

CROSSREFS

Cf. A153166 Numbers n with property that 6n+1 is prime and uses only digits 2 and 3.

Sequence in context: A219409 A232302 A153166 * A195215 A183481 A295415

Adjacent sequences:  A153165 A153166 A153167 * A153169 A153170 A153171

KEYWORD

nonn,base

AUTHOR

Zak Seidov, Dec 20 2008

EXTENSIONS

a(6)-a(40) from Bill Hannaford, Nov 08 2013

STATUS

approved

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Last modified May 9 08:25 EDT 2021. Contains 343699 sequences. (Running on oeis4.)