|
| |
|
|
A050249
|
|
Weakly prime numbers (changing any one decimal digit always produces a composite number).
|
|
11
| |
|
|
294001, 505447, 584141, 604171, 971767, 1062599, 1282529, 1524181, 2017963, 2474431, 2690201, 3085553, 3326489, 4393139, 5152507, 5564453, 5575259, 6173731, 6191371, 6236179, 6463267, 6712591, 7204777, 7469789, 7469797
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Tao proved that this sequence is infinite. - T. D. Noe, Mar 01 2011
|
|
|
LINKS
| Klaus Brockhaus, Table of n, a(n) for n = 1..1317 (terms < 500000000)
Terence Tao, A remark on primality testing and decimal expansions (arXiv:0802.3361)
Eric Weisstein's World of Mathematics, Weakly Prime
|
|
|
PROG
| (MAGMA) IsA118118:=function(n); D:=Intseq(n); return forall{ <k, j>: k in [1..#D], j in [0..9] | j eq D[k] or not IsPrime(Seqint(S)) where S:=Insert(D, k, k, [j]) }; end function; [ p: p in PrimesUpTo(8000000) | IsA118118(p) ]; // Klaus Brockhaus, Feb 28 2011
|
|
|
CROSSREFS
| Cf. A118118.
Cf. A137985 (analogous base 2 sequence), A186995 (weak primes in base n).
Sequence in context: A168500 A104328 A158124 * A178997 A206237 A023351
Adjacent sequences: A050246 A050247 A050248 * A050250 A050251 A050252
|
|
|
KEYWORD
| nonn,base
|
|
|
AUTHOR
| Eric Weisstein (eric(AT)weisstein.com)
|
|
|
EXTENSIONS
| Edited by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Aug 02 2010
|
| |
|
|
