A030086 Primes p whose digits do not appear in p^2.

2, 3, 7, 17, 29, 47, 53, 59, 67, 79, 157, 173, 257, 307, 313, 349, 353, 359, 409, 449, 467, 547, 557, 577, 659, 673, 677, 739, 787, 853, 929, 1447, 1607, 1747, 2029, 2087, 2113, 2237, 3257, 3359, 3467, 3533, 3559, 3767, 3779, 4253, 4337, 4787, 5333, 5557, 5659

Offset

1,1

Comments

Primes of sequence A029783. - Michel Marcus, Jan 04 2015

Links

Michael S. Branicky, Table of n, a(n) for n = 1..13322 (terms < 10^16; terms 502..676 from Harvey P. Dale and Vincenzo Librandi, terms 1..501 from Harvey P. Dale)

Example

2 and 2^2 = 4 have no digits in common, hence 2 is in the sequence.

Mathematica

Select[Prime[Range[700]], Intersection[IntegerDigits[#], IntegerDigits[ #^2]] == {}&] (* Harvey P. Dale, Oct 02 2014 *)

Prog

(PARI) lista(nn) = {forprime (n=1, nn, if (#setintersect(Set(vecsort(digits(n^2))), Set(vecsort(digits(n)))) == 0, print1(n, ", ")); ); } \\ Michel Marcus, Jan 04 2015

Crossrefs

Cf. A029783 (numbers n whose digits are not present in n^2).

Cf. similar sequences listed in A253574.

Sequence in context: A268539 A083822 A349665 * A078721 A077007 A158498

Adjacent sequences: A030083 A030084 A030085 * A030087 A030088 A030089

Keyword

nonn,base

Author

Patrick De Geest, Dec 11 1999

Extensions

Offset changed from 0 to 1 from Vincenzo Librandi, Jan 04 2015

Status

approved