A276355 Sum of primes between 100*n and 100*n + 99.

1060, 3167, 4048, 5612, 7649, 7760, 10316, 10466, 12719, 13330, 16826, 13780, 18775, 14759, 24773, 18666, 24679, 21022, 22230, 25413, 28750, 21398, 33781, 35381, 24452, 28057, 39905, 38474, 34168, 32407, 36560, 31544, 35669, 50157, 38009, 49688, 47439, 44994

Offset

0,1

Comments

The first occurrence of 0 in this sequence is as a(16718). - Robert Israel, Dec 28 2022

Links

Robert Israel, Table of n, a(n) for n = 0..10000

Formula

a(n) = A034387(100*(n+1)) - A034387(100*n). - Robert Israel, Aug 31 2016

Example

Sum of primes in first interval of one hundred numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 is equal to first term i.e 1060.

Maple

R:= NULL: m:= 0: p:= 0: s:= 0:
while m <= 100 do
  p:= nextprime(p);
  r:= floor(p/100);
  if r = m then
    s:= s + p;
  else
    R:= R, s;
    if m < r-1 then R:= R, 0$(r-1-m) fi;
    s:= p;
    m:= r;
  fi
od:
R;

Mathematica

Table[Total@ Select[Range[#, # + 99] &[100 n], PrimeQ], {n, 0, 37}] (* Michael De Vlieger, Sep 01 2016 *)

Crossrefs

Cf. A034387, A038822, A181098.

Sequence in context: A107556 A237797 A237795 * A294164 A335731 A048895

Adjacent sequences: A276352 A276353 A276354 * A276356 A276357 A276358

Keyword

nonn,look

Author

Bhushan Bade, Aug 31 2016

Extensions

Definition by Omar E. Pol, Aug 31 2016

Status

approved