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.

A317255 a(n) = 149836681069944461 + (n-1)*1723457117682300.

Original entry on oeis.org

149836681069944461, 151560138187626761, 153283595305309061, 155007052422991361, 156730509540673661, 158453966658355961, 160177423776038261, 161900880893720561, 163624338011402861, 165347795129085161, 167071252246767461, 168794709364449761, 170518166482132061
Offset: 1

Views

Author

Marco Ripà, Jul 25 2018

Keywords

Comments

The terms for n = 1..26 are prime. As of Jul 25 2018, this is one of the longest known sequences of primes in arithmetic progression.

Examples

			a(26) = 149836681069944461 + 25*7725290*223092870 = 192923109012001961 is prime.

Links

Crossrefs

Cf. A002120, A204189, A260751, A261140, A317163, A317164.

Programs

  • GAP
    List([1..25], n->149836681069944461+(n-1)*1723457117682300);
  • Maple
    seq(149836681069944461+(n-1)*1723457117682300,n=1..25);
  • Mathematica
    Table[149836681069944461 + (n - 1) 1723457117682300, {n, 1, 25}]

A317259 a(n) = 136926916457315893 + (n - 1)*9843204333812850.

Original entry on oeis.org

136926916457315893, 146770120791128743, 156613325124941593, 166456529458754443, 176299733792567293, 186142938126380143, 195986142460192993, 205829346794005843, 215672551127818693, 225515755461631543, 235358959795444393, 245202164129257243, 255045368463070093
Offset: 1

Views

Author

Marco Ripà, Jul 25 2018

Keywords

Comments

The terms for n = 1..26 are prime. As of Jul 25 2018, this is one of the longest known sequences of primes in arithmetic progression.
a(27) = 392850229136449993 = 41 * 179 * 53529122378587.
To date, an arithmetic sequence of 27 primes has not been found yet.

Examples

			a(26) = 136926916457315893 + 25*44121555*223092870 = 383007024802637143 is prime.

Links

Crossrefs

Cf. A002120, A204189, A260751, A261140, A317163, A317164.

Programs

  • GAP
    List([1..25], n->136926916457315893+(n-1)*9843204333812850);
  • Maple
    seq(136926916457315893+(n-1)*9843204333812850,n=1..25);
  • Mathematica
    Table[136926916457315893 + (n - 1) 9843204333812850, {n, 1, 25}]

Extensions

a(7) corrected by Georg Fischer, Mar 13 2020

A317914 a(n) = 142099325379199423 + (n-1)*3691994023167450.

Original entry on oeis.org

142099325379199423, 145791319402366873, 149483313425534323, 153175307448701773, 156867301471869223, 160559295495036673, 164251289518204123, 167943283541371573, 171635277564539023, 175327271587706473, 179019265610873923
Offset: 1

Views

Author

Marco Ripà, Aug 10 2018

Keywords

Comments

The terms for n = 1..26 are prime. As of Aug 10 2018, this is one of the longest known sequences of primes in arithmetic progression.

Examples

			a(26) = 142099325379199423 + 25*16549135*223092870 = 234399175958385673 is prime.

Links

Crossrefs

Cf. A002110, A204189, A260751, A261140, A317163, A317164.

Programs

  • GAP
    List([1..26],n->142099325379199423+(n-1)*3691994023167450);
  • Maple
    seq(142099325379199423+(n-1)*3691994023167450,n=1..26);
  • Mathematica
    Table[142099325379199423 + (n - 1) 3691994023167450, {n, 1, 26}]

Formula

a(n) = 142099325379199423 + a(n-1)*16549135*23#, where 23# := 2*3*5*7*11*13*17*19*23 = 223092870.
Showing 1-3 of 3 results.

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

Content is available under The OEIS End-User License Agreement.