A253970 Primes p such that p + nextprime(p) is divisible by 5.

2, 13, 29, 43, 47, 59, 103, 113, 149, 157, 163, 167, 179, 193, 199, 223, 239, 257, 269, 293, 313, 367, 401, 419, 463, 491, 509, 557, 569, 587, 599, 607, 613, 619, 643, 647, 659, 673, 677, 701, 727, 761, 773, 809, 823, 853, 863, 883, 911, 947, 953, 977, 1019

Offset: 1

Author

Vincenzo Librandi, Jan 23 2015

Keywords

• nonn
• easy

Comments

Primes p such that p + nextprime(p) is divisible by 10 is the same as this sequence without the term 2. - Derek Orr, Jan 30 2015

Examples

			p=29 is in this sequence because 29+31 = 60 is divisible by 5.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. similar sequences listed in A253969.

Programs

Magma

[p: p in PrimesUpTo(1500) | (p+NextPrime(p)) mod 5 eq 0];

Mathematica

Prime@Select[Range[300], Mod[Prime[#] + Prime[# + 1], 5]==0 &]
Transpose[Select[Partition[Prime[Range[200]],2,1],Divisible[Total[ #],5]&]] [[1]] (* Harvey P. Dale, Feb 10 2015 *)

PARI

forprime(p=1,10^3,if(!((p+nextprime(p+1))%5),print1(p,", "))) \\ Derek Orr, Jan 30 2015