A336435 - OEIS

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A336435

a(n) is the least k such that A069230(k) = n.

1, 3, 2, 4, 14, 6, 16, 63, 20, 18, 12, 64, 102, 66, 24, 40, 100, 208, 112, 36, 650, 444, 200, 198, 228, 160, 84, 72, 96, 60, 1610, 320, 1110, 192, 1218, 324, 400, 728, 462, 144, 280, 264, 270, 168, 120, 882, 828, 468, 980, 588, 288, 252, 300, 1040, 1104, 180, 880

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..56.

EXAMPLE

a(10) = 12 as A069230(12) = 10 as there are 10 primes between (exclusive) 12 and 12 + tau(12)^2 = 12 + 6^2 = 12 + 36 = 48 namely the 10 primes 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 and k = 12 is the least k such that there are ten primes between (exclusive) k and k + tau(k)^2 where tau is the number of divisors (Cf. A000005).

CROSSREFS

Cf. A000005, A069230.

Sequence in context: A290333 A137824 A019321 * A279261 A185390 A361422

Adjacent sequences: A336432 A336433 A336434 * A336436 A336437 A336438

KEYWORD

nonn

AUTHOR

David A. Corneth, Sep 20 2020

STATUS

approved