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A252800 Primes p such that the next prime appears after a gap greater than 100. 1
370261, 492113, 1098847, 1349533, 1357201, 1388483, 1444309, 1468277, 1561919, 1664123, 1671781, 1761187, 1775069, 1889831, 1895359, 2010733, 2127163, 2238823, 2242549, 2243987, 2305169, 2314439, 2597981, 2614883, 2637799, 2867107, 2898239, 3064751, 3117299, 3225539 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

K. D. Bajpai, Table of n, a(n) for n = 1..10000

EXAMPLE

a(1) = 370261 : Nextprime = 370373 : Gap = 370373 - 370261 = 112 which is greater than 100.

a(2) = 492113 : Nextprime = 492227 : Gap = 492113 - 492227 = 114 which is greater than 100.

MAPLE

count:= 0:

x:= 1:

while count < 40 do

  y:= prevprime(x+101);

  if y = x then

     count:= count+1; A[count]:= x;

     x:= nextprime(x+101);

  else

     x:= y;

  fi

od:

seq(A[i], i=1..count);  # Robert Israel, Dec 26 2014

MATHEMATICA

postGaps = {}; Do[k = Prime[n]; If[NextPrime[k] > (k + 100), AppendTo[postGaps, k]], {n, 250000}]; postGaps

Prime[#]&/@Flatten[Position[Differences[Prime[Range[235000]]], _?(#> 100&)]] (* Harvey P. Dale, Sep 30 2018 *)

PROG

(PARI) s=[]; forprime(p=2, 500000, if(nextprime(p+1)>(p+100), s=concat(s, p))); s

CROSSREFS

Cf. A000040.

Sequence in context: A172778 A172666 A251209 * A291638 A219284 A017537

Adjacent sequences:  A252797 A252798 A252799 * A252801 A252802 A252803

KEYWORD

nonn

AUTHOR

K. D. Bajpai, Dec 22 2014

STATUS

approved

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Last modified July 8 19:20 EDT 2020. Contains 335524 sequences. (Running on oeis4.)