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A349996 Number of primes in an interval [k^2,(k+1)^2] setting a new record. 4
2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 15, 16, 17, 21, 22, 23, 24, 27, 29, 30, 31, 33, 34, 35, 36, 38, 39, 40, 41, 42, 44, 46, 48, 49, 50, 53, 56, 59, 60, 64, 66, 67, 74, 75, 77, 78, 80, 82, 84, 91, 96, 97, 98, 103, 105, 109, 110, 111, 112, 119, 125, 129, 133, 135, 139, 146 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
a(n) = A014085(A333846(n)).
PROG
(PARI) a349996(limit) = {my(nmax=0); for(k=1, limit, my(np=primepi((k+1)^2)-primepi(k^2)); if(np>nmax, print1(np, ", "); nmax=np))};
a349996(900)
CROSSREFS
Sequence in context: A073518 A144769 A165737 * A347517 A358992 A033104
KEYWORD
nonn
AUTHOR
Hugo Pfoertner, Dec 11 2021
STATUS
approved

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Last modified July 14 15:16 EDT 2024. Contains 374322 sequences. (Running on oeis4.)