A372085 Primes starting a sequence of 6 consecutive primes with gaps 2, 4, 8, 16, 32.

6824897, 10132607, 12674657, 13699457, 14148047, 27353237, 43918997, 44152307, 50608007, 53944337, 60426257, 60825827, 61325057, 68721047, 68933717, 72069707, 78577817, 82108127, 82334297, 87020177, 88226777, 97013927, 102043757, 106053917, 122271557, 140859707, 146049047, 161788787, 162036227

Offset

1,1

Comments

First differs from A079015 at a(25) = 122271557.

All terms == 7 (mod 10).

Links

Robert Israel, Table of n, a(n) for n = 1..1000

Index entries for primes, gaps between

Example

a(3) = 12674657 is a term because 12674657 is prime and the next five primes are 12674657 + 2 = 12674659, 12674659 + 4 = 12674663, 12674663 + 8 = 12674671, 12674671 + 16 = 12674687 and 12674687 + 32 = 12674719.

Maple

p:= 2: state:= 1: count:= 0: Res:= NULL:
while count < 100 do
  q:= nextprime(p);
  if q - p = 2^state then
     state:= state+1;
     if state = 6 then
       count:= count+1; Res:= Res, q-62;
     fi;
  else state:= 1
  fi;
  p:= q;
od:
Res;

Crossrefs

Cf. A079015, A372248 (gaps 2,4,8,16).

Sequence in context: A346282 A088238 A079015 * A185435 A185427 A185426

Adjacent sequences: A372068 A372083 A372084 * A372086 A372087 A372088

Keyword

nonn

Author

Zak Seidov and Robert Israel, Apr 17 2024

Status

approved