A243888 -id:A243888 - cp's OEIS frontend

A243889 Primes of the form 2n^2+30n+13.

661, 1201, 2281, 2713, 3181, 4801, 5413, 8221, 9013, 12541, 13513, 17761, 18913, 20101, 32413, 33961, 38821, 51421, 72481, 91921, 94513, 108013, 110821, 134581, 137713, 153913, 167521, 211801, 223681, 265621, 274441, 335281, 345181, 365413, 370561, 440761, 560641

Offset: 1

Vincenzo Librandi, Jun 16 2014

Subsequence of A142104.
Conjecture: except 2281, 2^a(n)-1 is not prime; in other words, these primes are included in A054723.
2*a(n) + 199 is a square. - Vincenzo Librandi, Apr 10 2015

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A142104.

Cf. similar sequences listed in A243888.

[a: n in [1..800] | IsPrime(a) where a is 2*n^2+30*n+13];

Select[Table[2 n^2 + 30 n + 13, {n, 1000}], PrimeQ]

A243890 Primes of the form 2n^2+38n+17.

Original entry on oeis.org

101, 149, 257, 317, 449, 521, 677, 761, 941, 1697, 1949, 2081, 2357, 2801, 2957, 3449, 3797, 4349, 4937, 6221, 6449, 6917, 7649, 7901, 8681, 9221, 9497, 10061, 10937, 12161, 13121, 13781, 15149, 16217, 17321, 18077, 18461, 20441, 20849, 25601, 26981, 27449

Offset: 1

Vincenzo Librandi, Jun 16 2014

Subsequence of A040117.
Conjecture: except 521, 2^a(n)-1 is not prime; in other words, these primes are included in A054723.
2*a(n) + 327 is a square. - Vincenzo Librandi, Jun 29 2016

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A040117.

Cf. similar sequences listed in A243888.

[a: n in [1..200] | IsPrime(a) where a is 2*n^2+38*n+17];

Select[Table[2 n^2 + 38 n + 17, {n, 800}], PrimeQ]

A243891 Primes of the form 2n^2 + 62n + 29.

Original entry on oeis.org

233, 389, 653, 953, 1061, 1289, 1409, 2069, 2213, 4253, 4649, 5273, 6869, 8933, 9209, 10061, 10949, 13829, 15569, 16661, 17033, 17789, 24413, 26693, 28109, 32573, 35729, 36269, 37361, 42473, 44249, 46061, 48533, 51713, 52361, 55661, 56333, 57689, 59753

Offset: 1

Vincenzo Librandi, Jun 16 2014

Subsequence of A040117.
Conjecture: except 4253, 2^a(n) - 1 is not prime; in other words, these primes are included in A054723.
2*a(n) + 903 is a square. - Vincenzo Librandi, Jun 29 2016

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A040117.

Cf. similar sequences listed in A243888.

[a: n in [1..200] | IsPrime(a) where a is 2*n^2+62*n+29];

Select[Table[2 n^2 + 62 n + 29, {n, 200}], PrimeQ]

A243957 Primes of the form 2n^2+66n+31.

Original entry on oeis.org

499, 787, 1471, 1867, 2767, 3271, 4999, 5647, 8599, 13099, 14107, 16231, 19687, 22171, 24799, 33547, 40099, 43591, 52951, 63211, 65371, 67567, 79087, 88951, 94099, 99391, 104827, 107599, 116131, 119047, 124987, 131071, 153499, 160231, 167107, 177691, 192307

Offset: 1

Vincenzo Librandi, Jun 16 2014

Primes of the form 36*A056115(k)+31.

Conjecture: 2^a(n)-1 is not prime; in other words, these primes are included in A054723.

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A056115, A142110 (supersequence).

Cf. similar sequences listed in A243888.

[a: n in [1..500] | IsPrime(a) where a is 2*n^2+66*n+31];

Select[Table[2 n^2 + 66 n + 31, {n, 800}], PrimeQ]

A243958 Primes of the form 2n^2+86n+41.

Original entry on oeis.org

317, 521, 857, 977, 1229, 1361, 1637, 2081, 2237, 2729, 3257, 3821, 4217, 4421, 5501, 6197, 8501, 9341, 9629, 12401, 13397, 14081, 15137, 15497, 16229, 18521, 18917, 20129, 21377, 22229, 23537, 23981, 26261, 26729, 29129, 31121, 32141, 35837, 36929, 39161

Offset: 1

Vincenzo Librandi, Jun 16 2014

Subsequence of A040117.

Conjecture: except 521, 2^a(n)-1 is not prime; in other words, these primes are included in A054723.

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A040117.

Cf. similar sequences listed in A243888.

[a: n in [1..300] | IsPrime(a) where a is 2*n^2+86*n+41];

Select[Table[2 n^2 + 86 n + 41, {n, 800}], PrimeQ]

cp's OEIS Frontend

A243889 Primes of the form 2*n^2+30*n+13.

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A243890 Primes of the form 2*n^2+38*n+17.

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Magma

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A243891 Primes of the form 2*n^2 + 62*n + 29.

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Magma

Mathematica

A243957 Primes of the form 2*n^2+66*n+31.

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Author

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Programs

Magma

Mathematica

A243958 Primes of the form 2*n^2+86*n+41.

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Author

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Comments

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Crossrefs

Programs

Magma

Mathematica

A243889 Primes of the form 2n^2+30n+13.

A243890 Primes of the form 2n^2+38n+17.

A243891 Primes of the form 2n^2 + 62n + 29.

A243957 Primes of the form 2n^2+66n+31.

A243958 Primes of the form 2n^2+86n+41.