A142315 -id:A142315 - cp's OEIS frontend

A142322 Primes congruent to 19 mod 45.

19, 109, 199, 379, 739, 829, 919, 1009, 1279, 1459, 1549, 1999, 2089, 2179, 2269, 2539, 2719, 3079, 3169, 3259, 3529, 3709, 3889, 4159, 4339, 4519, 4789, 4969, 5059, 5419, 5689, 5779, 5869, 6229, 6679, 6949, 7039, 7129, 7219, 7309, 7489, 7669, 7759, 8209

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142315, A142317, A142318, A142321.

[p: p in PrimesUpTo(10000) | p mod 45 eq 19]; // Vincenzo Librandi, Aug 26 2012

Select[Range[19, 10000, 90], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jul 14 2011 *)
Select[Prime[Range[1200]], MemberQ[{19}, Mod[#, 45]] &] (* Vincenzo Librandi, Aug 26 2012 *)

is(n)=isprime(n) && n%45==19 \\ Charles R Greathouse IV, Jul 01 2016

A202110 Numbers n such that 90*n + 7 is prime.

Original entry on oeis.org

0, 1, 3, 4, 5, 6, 8, 10, 11, 12, 16, 18, 22, 26, 27, 29, 30, 31, 32, 34, 39, 40, 41, 43, 44, 45, 48, 50, 51, 55, 58, 60, 65, 67, 69, 71, 73, 78, 80, 81, 83, 88, 89, 92, 93, 94, 96, 97, 100, 102, 103, 106, 109, 110, 113, 114, 115, 118, 122, 125, 127, 128, 129

Offset: 1

J. W. Helkenberg, Dec 11 2011

This sequence was generated by adding 12 Fibonacci-like sequences [See: PROG]. Looking at the format 90n+7 modulo 9 and modulo 10 we see that all entries of A142315 have digital root 7 and last digit 7. (Reverting the process is an application of the Chinese remainder theorem.) The 12 Fibonacci-like sequences are generated (via the p and q values given in the PERL program) from the base p,q pairs 7*91, 19*43, 37*61, 73*79, 11*17, 29*53, 47*71, 83*89, 13*49, 31*67, 23*59, 41*77.

Cf. A181732, A198382, A195993, A196000, A196007, A201739, A201734, A201804, A201816, A201817, A201818, A201820, A201822, A202101, A202104, A202105.

Select[Range[0, 200], PrimeQ[90 # + 7] &]

is(n)=isprime(90*n+7) \\ Charles R Greathouse IV, Feb 17 2017

cp's OEIS Frontend

A142322 Primes congruent to 19 mod 45.

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