A135463 -id:A135463 - cp's OEIS frontend

A135441 Numbers k such that for any single digit d of k the d-th semiprime sp(k) is substring of k.

104, 410, 1004, 1014, 1040, 1041, 1044, 1104, 1410, 4010, 4100, 4101, 4104, 4110, 4410, 10004, 10014, 10040, 10041, 10044, 10104, 10114, 10140, 10141, 10144, 10145, 10400, 10401, 10404, 10410, 10411, 10414, 10440, 10441, 10444, 10514, 11004, 11014, 11040

Offset: 1

Zak Seidov, Feb 17 2008

sp(1..9)=4,6,9,10,14,15,21,22,25, with the convention that sp(0)=1.

David Applegate, Table of n, a(n) for n = 1..300

Cf. A134439, A134962, A135463.

Corrected and extended by David Applegate, Feb 18 2008

A135496 Numbers k with the property that for each single digit d of k, the decimal expansion of 3d is a substring of k.

Original entry on oeis.org

0, 12182427369, 12182427396, 12182427639, 12182427693, 12182427936, 12182427963, 12182432769, 12182432796, 12182436279, 12182436927, 12182439276, 12182439627, 12182462739, 12182462793, 12182463279

Offset: 1

Zak Seidov, Feb 08 2008

David Applegate, Table of n, a(n) for n = 1..300

Cf. A135463, A134962.

Corrected by David Applegate, Feb 10 2008

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.

Original entry on oeis.org

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

Zak Seidov, Feb 17 2008

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.

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

cp's OEIS Frontend

A135441 Numbers k such that for any single digit d of k the d-th semiprime sp(k) is substring of k.

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A135496 Numbers k with the property that for each single digit d of k, the decimal expansion of 3d is a substring of k.

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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.

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