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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A078873 Sorted version of A078872.

Original entry on oeis.org

7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 59, 61, 67, 149, 151, 157, 251, 587, 593, 599, 1597, 1601, 1861, 2333, 2671, 3299, 3301, 3307, 4639, 5849, 6353, 6959, 14731, 17467, 32353, 90001
Offset: 1

Views

Author

Labos Elemer, Dec 20 2002

Keywords

Comments

Each term is the smallest prime p >= 7 such that the differences between the 6 consecutive primes starting with p are (d1,d2,d3,d4,d5), for some quintuple (d1,d2,d3,d4,d5) with elements in {2,4,6}.

Examples

			The term 90001 corresponds to the quadruple (6,4,6,2,4): 90001, 90007, 90011, 90017, 90019, 90023 are consecutive primes.

Crossrefs

The quintuples are in A078870. The same primes, in lexicographic order of the quintuples, are in A078872. The analogous sequences for quadruples and 6-tuples are in A078867 and A078875. Cf. A001223.

Extensions

Edited by Dean Hickerson, Dec 21 2002

A078874 The 6-tuples (d1,d2,d3,d4,d5,d6) with elements in {2,4,6} are listed in lexicographic order; for each 6-tuple, this sequence lists the smallest prime p >= 7 such that the differences between the 7 consecutive primes starting with p are (d1,d2,d3,d4,d5,d6), if such a prime exists.

Original entry on oeis.org

11, 17, 4637, 41, 5639, 29, 59, 130631, 78779, 603899, 149, 3299, 13, 37, 1597, 19, 5839, 135589, 71329, 43, 302563, 17467, 1601, 23, 53, 5843, 326993, 593, 135593, 71333, 44257, 31, 61, 678631, 32353, 435553, 6268957, 351031, 47, 41597, 587, 19457, 2671, 246907, 151, 251, 179801, 3301
Offset: 1

Views

Author

Labos Elemer, Dec 20 2002

Keywords

Comments

The 48 6-tuples for which p exists are listed, in decimal form, in A078871.

Examples

			The term 151 corresponds to the 6-tuple (6,6,4,6,6,2): 151, 157, 163, 167, 173, 179, 181 are consecutive primes.

Crossrefs

The 6-tuples are in A078871. The same primes, in increasing order, are in A078875. The analogous sequences for quadruples and quintuples are in A078866 and A078872. Cf. A001223.

Extensions

Edited by Dean Hickerson, Dec 21 2002
Showing 1-2 of 2 results.

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