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 1-3 of 3 results.

A279021 Triangle read by rows, giving the arithmetic progressions of prime-indexed primes in A278735.

Original entry on oeis.org

3, 3, 5, 5, 11, 17, 353, 431, 509, 587, 13297, 21937, 30577, 39217, 47857, 1561423, 2716423, 3871423, 5026423, 6181423, 7336423, 291461857, 373881397, 456300937, 538720477, 621140017, 703559557, 785979097
Offset: 1

Views

Author

Bobby Jacobs, Dec 03 2016

Keywords

Comments

The first set of 4 prime-indexed primes in arithmetic progression (353, 431, 509, and 587) contains consecutive terms of A142160.
The first set of 5 prime-indexed primes in arithmetic progression contains 3 numbers that are anagrams of each other (13297, 21937, and 39217).

Examples

			a(7) = 353, a(8) = 431, a(9) = 509, and a(10) = 587 because 353 = prime(prime(20)), 431 = prime(prime(23)), 509 = prime(prime(25)), 587 = prime(prime(28)), and 431-353 = 509-431 = 587-509 = 78.
The triangle begins:
3;
3, 5;
5, 11, 17;
353, 431, 509, 587;
13297, 21937, 30577, 39217, 47857;
1561423, 2716423, 3871423, 5026423, 6181423, 7336423;
...
		

Crossrefs

Extensions

a(22)-a(28) from Charles R Greathouse IV, Dec 27 2016

A274825 Gaps associated with the arithmetic progressions in A278735.

Original entry on oeis.org

0, 2, 6, 78, 8640, 1155000, 82419540
Offset: 1

Views

Author

Bobby Jacobs, Dec 08 2016

Keywords

Comments

The first set of 4 prime-indexed primes in arithmetic progression (353, 431, 509, and 587) contains consecutive terms of A142160.

Examples

			a(4) = 78 because 353 = prime(prime(20)), 431 = prime(prime(23)), 509 = prime(prime(25)), 587 = prime(prime(28)), and 431-353 = 509-431 = 587-509 = 78.
For the corresponding arithmetic progressions, see _Charles R Greathouse IV_'s example in A278735. - _Bobby Jacobs_, Jan 02 2017
		

Crossrefs

Extensions

a(7) from Bobby Jacobs, Jan 02 2017

A279062 Initial terms of the arithmetic progressions in A278735.

Original entry on oeis.org

3, 3, 5, 353, 13297, 1561423, 291461857
Offset: 1

Views

Author

Bobby Jacobs, Dec 05 2016

Keywords

Comments

The first set of 4 prime-indexed primes in arithmetic progression (353, 431, 509, and 587) contains consecutive terms of A142160.

Examples

			a(4) = 353 because 353 = prime(prime(20)), 431 = prime(prime(23)), 509 = prime(prime(25)), 587 = prime(prime(28)), and 431-353 = 509-431 = 587-509 = 78.
The corresponding arithmetic progressions are
3;
3, 5;
5, 11, 17;
353, 431, 509, 587;
13297, 21937, 30577, 39217, 47857;
1561423, 2716423, 3871423, 5026423, 6181423, 7336423;
...
		

Crossrefs

Left border of A279021.

Extensions

a(7) from Charles R Greathouse IV, Dec 27 2016
Showing 1-3 of 3 results.