A135411 Numbers n with property that for each single digit d of n, we can also see the decimal expansion of d+2 as a substring of n.

113579, 113597, 113759, 113795, 113957, 113975, 115379, 115397, 115739, 115793, 115937, 115973, 117359, 117395, 117539, 117593, 117935, 117953, 119357, 119375, 119537, 119573, 119735, 119753, 311579, 311597, 311759, 311795, 311957, 311975

Offset

1,1

Comments

There are exactly 120 six-digit such integers.

These include 24 primes: 113759, 113957, 115793, 117539, 311957, 351179, 375119, 511793, 531197, 539711, 573119, 579113, 579311, 591137, 593711, 711539, 739511, 751139, 751193, 759113, 793511, 911357, 937511, 971153;

and 36 semiprimes: 113579, 115397, 115937, 117953, 119537, 119573, 119753, 311579, 311759, 359117, 375911, 379511, 391157, 395711, 397115, 511379, 511397, 511739, 539117, 571139, 593117, 711593, 731195, 753119, 753911, 791135, 911573, 931157, 935117, 935711, 937115, 951137, 957113, 957311, 975113, 975311.

Links

Table of n, a(n) for n=1..30.

Crossrefs

Cf. A134439, A134692, A134948, A135015, A135016, A135463, A135495.

Sequence in context: A259003 A256901 A066790 * A108387 A112009 A034633

Adjacent sequences: A135408 A135409 A135410 * A135412 A135413 A135414

Keyword

base,nonn

Author

Zak Seidov, Feb 17 2008

Status

approved