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.

Showing 1-5 of 5 results.

A052085 Primes whose decimal digits are grouped together.

Original entry on oeis.org

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 103, 107, 109, 113, 127, 137, 139, 149, 157, 163, 167, 173, 179, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307
Offset: 1

Views

Author

Patrick De Geest, Jan 15 2000

Keywords

Examples

			101 is not a term since the two digits 1 are separated by the 0.
233 is a term since the digits 2 and 3 are grouped, and it is prime.

Crossrefs

Cf. A052086, A052081, A052082, A052083, A052084.

A052082 Squares with at least one of the decimal expansion digits occurring separated.

Original entry on oeis.org

121, 484, 676, 1521, 1681, 2025, 3136, 3969, 4624, 5625, 5929, 6561, 8281, 8464, 9409, 10201, 10404, 10609, 10816, 11881, 12100, 12321, 14161, 14641, 14884, 15129, 15625, 16129, 16641, 17161, 17424, 19321, 19881, 21025, 21316, 24025
Offset: 1

Views

Author

Patrick De Geest, Jan 15 2000

Keywords

Examples

			10609 is a term since the two digits 0 are separated by the 6.
7744 is not a term since all the digits 7 and 4 are grouped.

Crossrefs

Cf. A052081, A052085, A052086, A052083, A052084.

A052083 a(n)^3 is a cube whose decimal expansion's digits are grouped together.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 27, 29, 30, 32, 35, 38, 40, 41, 42, 45, 46, 48, 49, 50, 53, 55, 59, 60, 61, 63, 66, 69, 71, 73, 75, 76, 80, 82, 84, 88, 90, 93, 96, 97, 100, 107, 113, 120, 124, 126, 129, 130, 131, 132, 135, 140
Offset: 1

Views

Author

Patrick De Geest, Jan 15 2000

Keywords

Examples

			81 is not a term because in 81^3 = 531441 the two digits 1 are separated by the two 4's.
15 is a term because in 15^3 = 3375 the digits 3, 7 and 5 are grouped.

Crossrefs

Cf. A052084, A052085, A052086, A052081, A052082.

Extensions

Edited, and offset changed to 1, by Jon E. Schoenfield, Oct 17 2019

A052084 Cubes with at least one of the decimal digits occurring separated.

Original entry on oeis.org

343, 1331, 12167, 15625, 17576, 21952, 29791, 35937, 39304, 46656, 50653, 59319, 79507, 85184, 103823, 132651, 140608, 157464, 175616, 185193, 195112, 238328, 262144, 274625, 300763, 314432, 343000, 373248, 405224, 456533, 474552, 493039
Offset: 1

Views

Author

Patrick De Geest, Jan 15 2000

Keywords

Examples

			The cube 300763 is a term since the digits 3 are separated by the substring 0076.
The cube 97336 is not a term since its 3-digits are grouped.

Crossrefs

Cf. A052083, A052085, A052086, A052081, A052082.

Extensions

Offset changed to 1 by Jon E. Schoenfield, Oct 17 2019

A052086 Primes with at least one of the decimal digits occurring separated.

Original entry on oeis.org

101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, 1013, 1019, 1021, 1031, 1051, 1061, 1091, 1151, 1171, 1181, 1201, 1213, 1217, 1231, 1291, 1301, 1303, 1319, 1321, 1361, 1373, 1381, 1451, 1471, 1481, 1511, 1531, 1571, 1601, 1613
Offset: 1

Views

Author

Patrick De Geest, Jan 15 2000

Keywords

Comments

The first 15 terms are palindromic.

Examples

			1471 is a term since the two digits 1 are separated by the substring 47.
Prime 277 is not a term since the only repeated digits (77) are grouped.

Crossrefs

Cf. A052085, A052081, A052082, A052083, A052084.

Extensions

Offset changed to 1 by Jon E. Schoenfield, Oct 17 2019
Showing 1-5 of 5 results.

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

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