A137978 -id:A137978 - cp's OEIS frontend

A039709 a(n) = n-th prime modulo 11.

2, 3, 5, 7, 0, 2, 6, 8, 1, 7, 9, 4, 8, 10, 3, 9, 4, 6, 1, 5, 7, 2, 6, 1, 9, 2, 4, 8, 10, 3, 6, 10, 5, 7, 6, 8, 3, 9, 2, 8, 3, 5, 4, 6, 10, 1, 2, 3, 7, 9, 2, 8, 10, 9, 4, 10, 5, 7, 2, 6, 8, 7, 10, 3, 5, 9, 1, 7, 6, 8, 1, 7, 4, 10, 5, 9, 4, 1, 5, 2, 1, 3, 2, 4, 10, 3

Offset: 1

Clark Kimberling, Dec 11 1999

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

Cf. A000040, A039703, A039705, A039710-A039715, A049084, A137977, A137978.

[p mod 11: p in PrimesUpTo(500)]; // Vincenzo Librandi, May 06 2014

seq(ithprime(n) mod 11, n=1..100); # Nathaniel Johnston, Jun 29 2011

Mod[Prime@ Range@ 86, 11] (* Robert G. Wilson v *)

primes(1000)%11 \\ Charles R Greathouse IV, Mar 13 2011

a(A049084(A137977(n-1))) = even; a(A049084(A137978(n-1))) = odd. - Reinhard Zumkeller, Feb 25 2008

Sum_k={1..n} a(k) ~ (11/2)*n. - Amiram Eldar, Dec 11 2024

A045429 Primes congruent to {1, 3} mod 5.

Original entry on oeis.org

3, 11, 13, 23, 31, 41, 43, 53, 61, 71, 73, 83, 101, 103, 113, 131, 151, 163, 173, 181, 191, 193, 211, 223, 233, 241, 251, 263, 271, 281, 283, 293, 311, 313, 331, 353, 373, 383, 401, 421, 431, 433, 443, 461, 463, 491, 503, 521, 523, 541, 563, 571, 593, 601, 613, 631, 641

Offset: 1

N. J. A. Sloane

A039703(A049084(a(n))) = odd; complement of A045356. - Reinhard Zumkeller, Feb 25 2008

R. Zumkeller, Table of n, a(n) for n = 1..1001

Cf. A000040, A045415, A137978.

[ p: p in PrimesUpTo(600) | p mod 5 in {1,3} ]; // Vincenzo Librandi, Aug 13 2012

Select[Prime[Range[200]], MemberQ[{1, 3}, Mod[#, 5]] &] (* Vincenzo Librandi, Aug 13 2012 *)
Select[Prime[Range[200]], OddQ[Mod[#, 5]] &] (* Zak Seidov, Aug 31 2012 *)

A045415 Primes congruent to {1, 3, 5} mod 7.

Original entry on oeis.org

3, 5, 17, 19, 29, 31, 43, 47, 59, 61, 71, 73, 89, 101, 103, 113, 127, 131, 157, 173, 197, 199, 211, 227, 229, 239, 241, 257, 269, 271, 281, 283, 311, 313, 337, 353, 367, 379, 383, 397, 409, 421, 439, 449, 463, 467

Offset: 1

N. J. A. Sloane

A039705(A049084(a(n))) = odd; complement of A045370. - Reinhard Zumkeller, Feb 25 2008

R. Zumkeller, Table of n, a(n) for n = 1..1001

Cf. A000040, A045429, A137978.

[ p: p in PrimesUpTo(600) | p mod 7 in {1,3,5} ]; // Vincenzo Librandi, Aug 12 2012

Select[Prime[Range[100]],MemberQ[{1,3,5},Mod[#,7]]&] (* Harvey P. Dale, May 15 2011 *)

A137977 Primes congruent to {0, 2, 4, 6, 8, 10} modulo 11.

Original entry on oeis.org

2, 11, 13, 17, 19, 37, 41, 43, 59, 61, 79, 83, 101, 103, 107, 109, 127, 131, 149, 151, 167, 173, 191, 193, 197, 211, 233, 239, 241, 257, 263, 277, 281, 283, 307, 347, 349, 367, 373, 389, 409, 431, 433, 439, 457, 461, 479, 499, 503, 521, 523, 541, 547, 563, 569

Offset: 1

Reinhard Zumkeller, Feb 25 2008

A039709(A049084(a(n))) = even; complement of A137978.

R. Zumkeller, Table of n, a(n) for n = 1..1001

Cf. A000040, A045370, A045356.

[p: p in PrimesUpTo(600) | p mod 11 in [0..10 by 2]]; // Vincenzo Librandi, Aug 15 2012

Select[Prime[Range[200]], MemberQ[{0, 2, 4, 6, 8, 10}, Mod[#, 11]] &] (* Vincenzo Librandi, Aug 15 2012 *)
Select[Prime[Range[110]], EvenQ[Mod[#, 11]] &] (* Bruno Berselli, Aug 31 2012 *)

cp's OEIS Frontend

A039709 a(n) = n-th prime modulo 11.

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A045429 Primes congruent to {1, 3} mod 5.

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A045415 Primes congruent to {1, 3, 5} mod 7.

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A137977 Primes congruent to {0, 2, 4, 6, 8, 10} modulo 11.

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