A045355 -id:A045355 - cp's OEIS frontend

A134517 Primes of the form 24*k - 1.

23, 47, 71, 167, 191, 239, 263, 311, 359, 383, 431, 479, 503, 599, 647, 719, 743, 839, 863, 887, 911, 983, 1031, 1103, 1151, 1223, 1319, 1367, 1439, 1487, 1511, 1559, 1583, 1607, 1823, 1847, 1871, 2039, 2063, 2087, 2111, 2207, 2351, 2399, 2423, 2447, 2543

Offset: 1

Zak Seidov, Oct 29 2007

nonn

Corresponding values of k are in A131210.
Is this the same sequence as A141376?
Primes in A183010. - Omar E. Pol, Oct 08 2011
Inert rational primes in the fields Q(sqrt(-1)), Q(sqrt(-2)), Q(sqrt(-3)). - Eyal Gruss, Nov 30 2022

Muniru A Asiru, Table of n, a(n) for n = 1..5000

Cf. A131210, A183010.

Intersection of A002145, A003627, A045355.

Filtered(List([1..120],n->24*n-1),IsPrime); # Muniru A Asiru, Mar 04 2018

select(isprime,[seq(24*n-1,n=1..120)]); # Muniru A Asiru, Mar 04 2018

Select[Prime[Range[1000]],Mod[ #,24]==23&]
Select[24*Range[200]-1,PrimeQ] (* Harvey P. Dale, Jun 17 2018 *)

lista(nn) = for(k=1, nn, if(isprime(p=24*k-1), print1(p", "))) \\ Altug Alkan, Mar 04 2018

a(n) = A183010(A131210(n)). - Omar E. Pol, Nov 04 2017

A216776 Primes p such that x^62 = -2 has no solution mod p.

Original entry on oeis.org

5, 7, 13, 23, 29, 31, 37, 47, 53, 61, 71, 79, 101, 103, 109, 127, 149, 151, 157, 167, 173, 181, 191, 197, 199, 223, 229, 239, 263, 269, 271, 277, 293, 311, 317, 349, 359, 367, 373, 383, 389, 397, 421, 431, 439, 461, 463, 479, 487, 503, 509, 541, 557, 599

Offset: 1

Vincenzo Librandi, Sep 16 2012

Complement of A051100 relative to A000040.

a(n) = A045355(n+1) up to n=116, and then both sequences start to differ substantially. - R. J. Mathar, Sep 19 2012

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

Cf. A000040, A051100.

[p: p in PrimesUpTo(700) | not exists{x : x in ResidueClassRing(p) | x^62 eq -2} ];

ok[p_]:=Reduce[Mod[x^62 + 2, p] == 0, x, Integers] == False;Select[Prime[Range[220]], ok]

A215210 Primes congruent to {2, 5, 7} mod 11.

Original entry on oeis.org

2, 5, 7, 13, 29, 71, 73, 79, 101, 137, 139, 167, 181, 211, 227, 233, 269, 271, 277, 293, 313, 337, 359, 379, 401, 409, 431, 467, 491, 541, 557, 563, 577, 599, 601, 607, 643, 673, 709, 733, 739, 761, 797, 821, 827, 863, 887, 907, 929, 937, 953, 997, 1019, 1039

Offset: 1

Vincenzo Librandi, Aug 07 2012

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

Cf. A000040, A045355, A045357.

[ p: p in PrimesUpTo(2000) | p mod 11 in {2, 5, 7} ];

Select[Prime[Range[800]],MemberQ[{2, 5, 7},Mod[#,11]]&]

A215211 Primes congruent to {2, 5, 7} mod 13.

Original entry on oeis.org

2, 5, 7, 31, 41, 59, 67, 83, 109, 137, 163, 197, 223, 239, 241, 293, 317, 353, 379, 397, 421, 431, 449, 457, 499, 509, 577, 587, 613, 631, 683, 691, 709, 733, 743, 761, 769, 787, 811, 821, 839, 863, 941, 967, 977, 1019, 1021, 1097, 1123, 1151, 1201, 1229, 1237

Offset: 1

Vincenzo Librandi, Aug 07 2012

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

Cf. A000040, A045355, A045357.

[ p: p in PrimesUpTo(2000) | p mod 13 in {2, 5, 7} ];

Select[Prime[Range[1000]],MemberQ[{2,5,7},Mod[#,13]]&]
Select[Flatten[Table[13n+{2,5,7},{n,0,100}]],PrimeQ] (* Harvey P. Dale, May 10 2021 *)

A215212 Primes congruent to {2, 5, 7} mod 17.

Original entry on oeis.org

2, 5, 7, 19, 41, 53, 73, 107, 109, 211, 223, 257, 277, 311, 313, 347, 359, 379, 449, 461, 563, 617, 619, 631, 653, 719, 733, 787, 821, 823, 857, 937, 971, 991, 1039, 1061, 1093, 1129, 1163, 1229, 1231, 1277, 1297, 1367, 1399, 1433, 1447, 1481, 1549, 1571

Offset: 1

Vincenzo Librandi, Aug 07 2012

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

Cf. A000040, A045355, A045357.

[ p: p in PrimesUpTo(2000) | p mod 17 in {2, 5, 7} ];

Select[Prime[Range[1000]],MemberQ[{2,5,7},Mod[#,17]]&]

A215213 Primes congruent to {2, 5, 7} mod 19.

Original entry on oeis.org

2, 5, 7, 43, 59, 83, 97, 157, 173, 197, 211, 233, 271, 311, 347, 349, 401, 439, 461, 463, 499, 577, 613, 653, 691, 727, 743, 857, 881, 919, 971, 1009, 1031, 1033, 1069, 1109, 1123, 1223, 1237, 1259, 1297, 1373, 1427, 1451, 1487, 1489, 1579, 1601, 1693

Offset: 1

Vincenzo Librandi, Aug 07 2012

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

Cf. A000040, A045355, A045357.

[ p: p in PrimesUpTo(2000) | p mod 19 in {2, 5, 7} ];

Select[Prime[Range[1000]],MemberQ[{2,5,7},Mod[#,19]]&]

cp's OEIS Frontend

A134517 Primes of the form 24*k - 1.

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A216776 Primes p such that x^62 = -2 has no solution mod p.

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A215210 Primes congruent to {2, 5, 7} mod 11.

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Magma

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A215211 Primes congruent to {2, 5, 7} mod 13.

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Magma

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A215212 Primes congruent to {2, 5, 7} mod 17.

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Magma

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A215213 Primes congruent to {2, 5, 7} mod 19.

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Magma

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