A142120 -id:A142120 - cp's OEIS frontend

A142121 Primes congruent to 12 mod 37.

197, 271, 419, 641, 863, 937, 1307, 1381, 1973, 2269, 2417, 2713, 2861, 3083, 3527, 3823, 4637, 4933, 5081, 5303, 5821, 6043, 6709, 6857, 7079, 7523, 8263, 8707, 8929, 9151, 9521, 9743, 9817, 10039, 10631, 10853, 11149, 11519, 11593, 12037, 12703, 13147, 13591

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142118, A142119, A142120.

[p: p in PrimesUpTo(15000) | p mod 37 eq 12 ]; // Vincenzo Librandi, Aug 19 2012

Select[Range[12,20000,37],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 08 2011 *)
Select[Prime[Range[5000]],MemberQ[{12},Mod[#,37]]&] (* Vincenzo Librandi, Aug 19 2012 *)

is(n)=isprime(n) && n%37==12 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 36n log n. - Charles R Greathouse IV, Jul 02 2016

A142122 Primes congruent to 13 mod 37.

Original entry on oeis.org

13, 383, 457, 827, 1049, 1123, 1493, 1567, 1789, 2011, 2381, 2677, 3121, 3343, 3491, 4157, 4231, 5119, 5563, 5711, 6007, 6229, 6451, 6599, 6673, 7043, 7487, 7561, 8597, 8819, 8893, 9041, 9337, 9781, 9929, 10151, 10891, 11113, 11261, 11483, 11779, 11927

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142119, A142120, A142121.

[p: p in PrimesUpTo(15000) | p mod 37 eq 13 ]; // Vincenzo Librandi, Aug 19 2012

Select[Range[13,30000,37],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 08 2011 *)
Select[Prime[Range[5000]],MemberQ[{13},Mod[#,37]]&] (* Vincenzo Librandi, Aug 19 2012 *)

is(n)=isprime(n) && n%37==13 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 36n log n. - Charles R Greathouse IV, Jul 02 2016

A142123 Primes congruent to 14 mod 37.

Original entry on oeis.org

199, 347, 421, 569, 643, 1013, 1087, 1531, 1753, 1901, 2789, 3011, 3307, 3529, 3677, 4639, 4787, 4861, 5009, 5231, 5527, 5749, 5897, 6563, 6637, 7229, 7451, 7673, 8117, 8191, 8783, 9227, 9967, 10337, 10559, 10781, 11003, 11299, 11447, 11743, 12113, 12409

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142120, A142121, A142122.

[p: p in PrimesUpTo(15000) | p mod 37 eq 14 ]; // Vincenzo Librandi, Aug 19 2012

Select[Range[14,30000,37],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 08 2011 *)
Select[Prime[Range[5000]],MemberQ[{14},Mod[#,37]]&] (* Vincenzo Librandi, Aug 19 2012 *)

is(n)=isprime(n) && n%37==14 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 36n log n. - Charles R Greathouse IV, Jul 02 2016

A322923 Primes of the form 3*p + 4, where p is a prime.

Original entry on oeis.org

13, 19, 37, 43, 61, 73, 97, 127, 163, 181, 223, 241, 271, 307, 313, 331, 397, 421, 457, 523, 541, 547, 577, 601, 673, 691, 727, 757, 811, 853, 883, 937, 997, 1051, 1063, 1123, 1153, 1171, 1231, 1297, 1303, 1321, 1531, 1567, 1627, 1693, 1783, 1801

Offset: 1

Vincenzo Librandi, Mar 12 2019

Muniru A Asiru, Table of n, a(n) for n = 1..10000

Cf. A023209, A100202, A102851, A142120, A142262, A142817.

P:=Filtered([1..1000],IsPrime);;
a:=Filtered(List(P,i->3*i+4),k->IsPrime(k)); # Muniru A Asiru, Mar 23 2019

[a: p in PrimesUpTo(600) | IsPrime(a) where a is 3*p+4];

select(isprime,[3*ithprime(p)+4$p=1..120]); # Muniru A Asiru, Mar 23 2019

Select[Table[p=Prime[n];3p+4,{n,85}],PrimeQ]

terms(n) = my(x=0, i=0); forprime(p=1, , if(i >= n, break); x=3*p+4; if(ispseudoprime(x), print1(x, ", "); i++))
/* Print initial 50 terms as follows: */
terms(50) \\ Felix Fröhlich, Mar 23 2019

cp's OEIS Frontend

A142121 Primes congruent to 12 mod 37.

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A142122 Primes congruent to 13 mod 37.

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A142123 Primes congruent to 14 mod 37.

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A322923 Primes of the form 3*p + 4, where p is a prime.

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