cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A057878 Primes with 2 distinct digits that remain prime (no leading zeros allowed) after deleting all occurrences of its digits d.

Original entry on oeis.org

23, 37, 53, 73, 113, 131, 151, 211, 311, 11111111111111111131, 11111111111111117111, 11111111111131111111, 11111111131111111111, 111111111111111111111113, 111111111111111112111111, 111111111111111121111111, 111111111112111111111111, 111111115111111111111111
Offset: 1

Views

Author

Patrick De Geest, Oct 15 2000

Keywords

Comments

Digits 0, 4, 6, 8, and 9 can never occur; digits 2, 3, 5, 7 can occur at most once in a term; every other digit is a 1. - Sean A. Irvine, Jul 11 2022

Crossrefs

Cf. A057876-A057883, A004022, A004023, A051362, A034302-A034305.

Extensions

More terms from Sean A. Irvine, Jul 11 2022

A057879 Primes with 3 distinct digits that remain prime (no leading zeros allowed) after deleting all occurrences of any one of its distinct digits.

Original entry on oeis.org

137, 173, 179, 197, 317, 431, 617, 719, 1531, 1831, 1997, 2113, 2131, 2237, 2273, 2297, 2311, 2797, 3137, 3371, 4337, 4373, 4733, 4919, 7297, 7331, 7573, 7873, 8191, 8311, 8831, 8837, 33413, 33713, 34313, 37313, 41117, 41999, 44417, 49199, 73331
Offset: 1

Views

Author

Patrick De Geest, Oct 15 2000

Keywords

Comments

Numbers in A057876 with exactly 3 distinct digits.

Crossrefs

Intersection of A057876 and A235155.
Cf. A057876-A057883, A051362, A034302-A034305.

Extensions

Offset changed by Andrew Howroyd, Aug 14 2024

A057881 Primes with 5 distinct digits that remain prime (no leading zeros allowed) after deleting all occurrences of its digits d.

Original entry on oeis.org

37019, 159013, 198013, 210139, 223697, 226397, 236297, 1305593, 1388693, 1393697, 1900937, 1912831, 2370673, 2796337, 2882093, 2930773, 3200191, 3202139, 3346199, 3442693, 3463199, 3463619, 3746399, 3769133, 4234039
Offset: 1

Views

Author

Patrick De Geest, Oct 15 2000

Keywords

Comments

Numbers in A057876 with exactly 5 distinct digits.

Crossrefs

Intersection of A057876 and A235157.
Cf. A057876-A057883, A051362, A034302-A034305.

Extensions

Offset changed by Andrew Howroyd, Aug 14 2024

A084375 Indices of primes which remain prime if any one digit is deleted (leading zeros allowed).

Original entry on oeis.org

9, 12, 16, 21, 30, 32, 33, 40, 41, 45, 64, 66, 83, 113, 128, 170, 173, 184, 239, 302, 333, 341, 446, 555, 657, 804, 903, 942, 1194, 1252, 1295, 1345, 2258, 2652, 2943, 3246, 3926, 4205, 4939, 7243, 7318, 8716, 8864, 9028, 9103, 10594, 15249, 28712, 30451
Offset: 1

Views

Author

Zak Seidov, Jun 23 2003

Keywords

Comments

Primes of this kind (with and without leading zeros) are in A051362 and A034302. Here more terms are given and question is asked: is this sequence finite? From first 1,000,000 primes only 77 are of this kind.

Examples

			The 41st prime is 179, and 17, 19, and 79 are all primes, so 41 is in the sequence. - _Harvey P. Dale_, Jun 20 2011

Crossrefs

Cf. A034302, A051362.

Extensions

Definition corrected by Harvey P. Dale, Jun 20 2011
Previous Showing 11-14 of 14 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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