A089270 -id:A089270 - cp's OEIS frontend

A154944 Primes p such that (p-1)p(p+1)-p+2 and (p-1)p(p+1)+p-2 are primes.

19, 37, 67, 151, 367, 859, 1471, 2791, 2971, 3061, 4357, 4447, 4507, 6367, 7159, 7237, 7591, 8311, 8647, 11617, 12211, 12601, 13249, 14947, 15271, 15661, 16699, 18097, 19777, 20149, 20347, 20947, 21019, 22741, 23311, 23857, 24019, 25867, 26701

Offset: 1

Vladimir Joseph Stephan Orlovsky, Jan 17 2009

nonn

Cf. A053184, A038872, A141158, A038615, A098058, A038936, A089270, A140559, A154939, A154942

lst={};Do[p=Prime[n];If[PrimeQ[(p-1)*p*(p+1)-p+2]&&PrimeQ[(p-1)*p*(p+1)+p-2],AppendTo[lst,p]],{n,8!}];lst

A155010 Primes p such that (p-a)(p+a)-+ap and (p-b)(p+b)-+bp are primes, a=2,b=3.

Original entry on oeis.org

7, 37, 587, 28703, 35677, 36857, 99367, 326707, 361687, 578167, 613573, 619007, 656407, 688783, 702203, 713467, 874823, 922027, 940573, 1045763, 1057907, 1244687, 1371157, 1419697, 1555187, 1665767, 1687187, 1687327, 1799453

Offset: 1

Vladimir Joseph Stephan Orlovsky, Jan 18 2009

nonn

Cf. A125272, A053184, A038872, A141158, A038615, A098058, A038936, A089270, A140559, A154939, A155006, A155007, A155008, A155009

lst={};Do[p=Prime[n];If[PrimeQ[(p-2)*(p+2)-2*p]&&PrimeQ[(p-2)*(p+2)+2*p]&&PrimeQ[(p-3)*(p+3)-3*p]&&PrimeQ[(p-3)*(p+3)+3*p],AppendTo[lst,p]],{n,9!}];lst
Select[Prime[Range[200000]],AllTrue[Flatten[{(#-2)(#+2)+{2#,-2#},(#-3)(#+3)+ {3#,-3#}}],PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Apr 26 2015 *)

cp's OEIS Frontend

A154944 Primes p such that (p-1)p(p+1)-p+2 and (p-1)p(p+1)+p-2 are primes.

Views

Author

Keywords

Crossrefs

Programs

Mathematica

A155010 Primes p such that (p-a)(p+a)-+ap and (p-b)(p+b)-+bp are primes, a=2,b=3.

Views

Author

Keywords

Crossrefs

Programs

Mathematica

cp's OEIS Frontend

A154944 Primes p such that (p-1)*p*(p+1)-p+2 and (p-1)*p*(p+1)+p-2 are primes.

Views

Author

Keywords

Crossrefs

Programs

Mathematica

A155010 Primes p such that (p-a)*(p+a)-+a*p and (p-b)*(p+b)-+b*p are primes, a=2,b=3.

Views

Author

Keywords

Crossrefs

Programs

Mathematica

A154944 Primes p such that (p-1)p(p+1)-p+2 and (p-1)p(p+1)+p-2 are primes.

A155010 Primes p such that (p-a)(p+a)-+ap and (p-b)(p+b)-+bp are primes, a=2,b=3.