A244376 -id:A244376 - cp's OEIS frontend

A244386 Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^41 is prime.

2, 88, 126, 230, 300, 582, 596, 612, 730, 790, 886, 978, 1000, 1022, 1088, 1160, 1616, 1710, 1958, 2200, 2480, 2512, 2746, 3058, 3120, 3132, 3142, 3348, 3398, 3546, 3568, 3800, 4068, 4190, 4268, 4438, 4446, 4692, 4780, 5012, 5026, 5300, 5498, 5558, 5698, 5880

Offset: 1

Vincenzo Librandi, Jun 27 2014

Vincenzo Librandi, Table of n, a(n) for n = 1..600

Cf. similar sequences listed in A244376.

[n: n in [0..7000] | IsPrime(s) where s is 1+&+[n^i: i in [1..41 by 2]]];

Select[Range[7000], PrimeQ[Total[#^Range[1, 41, 2]] + 1] &]

A244387 Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^45 is prime.

Original entry on oeis.org

102, 200, 570, 1368, 1428, 1674, 1796, 1980, 2148, 2426, 2534, 2600, 2990, 3006, 3138, 3188, 3696, 4116, 4122, 4710, 4808, 5078, 6072, 6158, 6486, 6732, 6762, 6956, 7080, 7146, 7190, 7328, 7866, 7976, 8256, 8664, 9494, 9758, 9780, 9890

Offset: 1

Vincenzo Librandi, Jun 27 2014

Vincenzo Librandi, Table of n, a(n) for n = 1..490

Cf. similar sequences listed in A244376.

[n: n in [0..10000] | IsPrime(s) where s is 1+&+[n^i: i in [1..45 by 2]]];

Select[Range[10000], PrimeQ[Total[#^Range[1, 45, 2]] + 1]&]

A244388 Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^49 is prime.

Original entry on oeis.org

4, 6, 60, 208, 250, 282, 294, 384, 400, 502, 760, 942, 1032, 1050, 1390, 1560, 2028, 2038, 2124, 2182, 3196, 4246, 4426, 4522, 4932, 4986, 5020, 5092, 5830, 6216, 6634, 6868, 7128, 7156, 7182, 7240, 7356, 7428, 7642, 7858, 8188, 8454, 8500, 8670, 9130

Offset: 1

Vincenzo Librandi, Jun 27 2014

Vincenzo Librandi, Table of n, a(n) for n = 1..490

Cf. similar sequences listed in A244376.

[n: n in [0..10000] | IsPrime(s) where s is 1+&+[n^i: i in [1..49 by 2]]];

Select[Range[10000], PrimeQ[Total[#^Range[1, 49, 2]] + 1] &]

A244389 Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^53 is prime.

Original entry on oeis.org

110, 130, 214, 258, 282, 392, 474, 522, 546, 676, 734, 856, 1096, 1116, 1186, 1192, 1376, 1446, 1540, 1552, 1558, 1804, 2032, 2100, 2154, 2474, 2614, 2848, 3092, 4550, 4932, 5000, 5354, 5554, 5604, 5878, 5996, 6136, 6410, 6648

Offset: 1

Vincenzo Librandi, Jun 27 2014

Vincenzo Librandi, Table of n, a(n) for n = 1..430

Cf. similar sequences listed in A244376.

[n: n in [0..7000] | IsPrime(s) where s is 1+&+[n^i: i in [1..53 by 2]]];

Select[Range[10000], PrimeQ[Total[#^Range[1, 53, 2]] + 1]&]

A244390 Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^57 is prime.

Original entry on oeis.org

12, 78, 92, 324, 588, 758, 800, 1248, 1380, 1472, 2324, 2450, 3038, 3930, 4328, 4370, 5580, 5952, 6072, 6164, 6872, 6890, 6918, 7814, 9318, 9734, 9944, 10074, 10122, 10272, 10598, 11070, 11298, 11852, 12054, 12210, 12930

Offset: 1

Vincenzo Librandi, Jun 27 2014

All a(n) == 0 or 2 (mod 6). - Robert Israel, Jul 13 2014

Vincenzo Librandi and Robert Israel, Table of n, a(n) for n = 1..2500 (first 210 terms from Vincenzo Librandi)

Cf. similar sequences listed in A244376.

[n: n in [0..13000] | IsPrime(s) where s is 1+&+[n^i: i in [1..57 by 2]]];

f:= unapply(1 + sum(n^(2*j+1),j=0..28), n):
select(isprime @ f, [seq(2*i,i=1..1000)]); # Robert Israel, Jul 13 2014

Select[Range[13000], PrimeQ[Total[#^Range[1, 57, 2]] + 1] &]

A244391 Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^61 is prime.

Original entry on oeis.org

100, 136, 276, 288, 696, 772, 810, 1036, 1128, 1602, 1678, 1806, 1956, 1962, 2212, 2220, 2500, 2610, 2670, 2718, 2796, 2818, 3066, 3366, 3598, 3936, 4198, 4360, 4452, 4782, 5340, 5998, 6126, 6202, 6210, 6990

Offset: 1

Vincenzo Librandi, Jun 27 2014

Chai Wah Wu, Table of n, a(n) for n = 1..1153 (n = 1..250 from Vincenzo Librandi)

Cf. similar sequences listed in A244376.

[n: n in [0..7000] | IsPrime(s) where s is 1+&+[n^i: i in [1..61 by 2]]];

Select[Range[10000], PrimeQ[Total[#^Range[1, 61, 2]] + 1]&]

cp's OEIS Frontend

A244386 Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^41 is prime.

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A244387 Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^45 is prime.

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A244388 Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^49 is prime.

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Magma

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A244389 Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^53 is prime.

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Magma

Mathematica

A244390 Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^57 is prime.

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Magma

Maple

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A244391 Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^61 is prime.

Views

Author

Keywords

Links

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Programs

Magma

Mathematica