A142113 -id:A142113

Search: a142113 -id:a142113

Displaying 1-3 of 3 results found.

page 1

A142114

Primes congruent to 5 mod 37.

+10
5

5, 79, 227, 449, 523, 967, 1559, 2003, 2447, 2521, 3187, 3557, 3631, 3779, 3853, 4001, 4297, 4519, 4889, 5333, 5407, 5851, 6073, 6221, 6961, 7109, 7331, 8219, 8293, 8663, 8737, 9181, 9403, 9551, 10069, 10513, 10883, 10957, 11549, 12289, 12437, 12511, 12659

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

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

FORMULA

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

MATHEMATICA

Select[Range[5, 20000, 37], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 07 2011 *)

Select[Prime[Range[5000]], MemberQ[{5}, Mod[#, 37]]&] (* Vincenzo Librandi, Aug 19 2012 *)

PROG

(Magma)[p: p in PrimesUpTo(15000) | p mod 37 eq 5 ]; // Vincenzo Librandi, Aug 19 2012

(PARI) is(n)=isprime(n) && n%37==5 \\ Charles R Greathouse IV, Jul 02 2016

CROSSREFS

Cf. A000040, A142112, A142113.

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jul 11 2008

STATUS

approved

A142115

Primes congruent to 6 mod 37.

+10
4

43, 191, 487, 709, 857, 1153, 1301, 1523, 1597, 2411, 2633, 2707, 3299, 3373, 4261, 4409, 4483, 5297, 5519, 5741, 6037, 6481, 6703, 7369, 7517, 7591, 8627, 8849, 8923, 9293, 9811, 10181, 10477, 10847, 11069, 11587, 12253, 12401, 12697, 12919, 13807, 14029

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

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

FORMULA

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

MATHEMATICA

Select[Range[6, 20000, 37], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 07 2011 *)

Select[Prime[Range[5000]], MemberQ[{6}, Mod[#, 37]]&] (* Vincenzo Librandi, Aug 19 2012 *)

PROG

(Magma) [p: p in PrimesUpTo(15000) | p mod 37 eq 6 ]; // Vincenzo Librandi, Aug 19 2012

(PARI) is(n)=isprime(n) && n%37==6 \\ Charles R Greathouse IV, Jul 02 2016

CROSSREFS

Cf. A000040, A142112, A142113, A142114.

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jul 11 2008

STATUS

approved

A142116

Primes congruent to 7 mod 37.

+10
4

7, 229, 599, 673, 821, 1117, 1487, 1709, 1783, 1931, 2153, 2671, 2819, 3041, 3559, 3929, 4003, 4373, 4447, 4817, 5039, 5113, 5261, 5483, 5557, 5779, 5927, 7333, 7481, 7703, 8147, 8221, 8369, 8443, 8887, 9109, 9257, 9479, 9923, 10589, 10663, 11329, 11551, 11699

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

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

FORMULA

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

MATHEMATICA

Select[Range[7, 20000, 37], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 07 2011 *)

Select[Prime[Range[5000]], MemberQ[{7}, Mod[#, 37]]&] (* Vincenzo Librandi, Aug 19 2012 *)

PROG

(Magma) [p: p in PrimesUpTo(1500) | p mod 37 eq 7 ]; // Vincenzo Librandi, Aug 19 2012

(PARI) is(n)=isprime(n) && n%37==7 \\ Charles R Greathouse IV, Jul 02 2016

CROSSREFS

Cf. A000040, A142113, A142114, A142115.

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jul 11 2008

STATUS

approved

page 1

Search completed in 0.005 seconds