A077657 Least number with exactly n consecutive successors, all having the same number of prime factors (counted with multiplicity).

1, 2, 33, 603, 602, 2522, 211673, 3405123, 3405122, 49799889, 202536181, 3195380868, 5208143601, 85843948321, 97524222465

Offset

0,2

Comments

A001222(a(n)) = A001222(a(n)+k) for k<=n.

A077655(a(n)) = n and A077655(k) != n for k<a(n). [Corrected by Martin Fuller, Nov 23 2025]

Links

Table of n, a(n) for n=0..14.

Formula

a(n) = A045984(n+1) + A077655(A045984(n+1)) - n. - Martin Fuller, Nov 21 2006

a(n) <= A356953(n) if A356953(n) != -1. - Michael S. Branicky, Nov 24 2025

Example

a(0) = A077656(1) = 1; a(1) = A045920(1) = 2; a(2) = A045939(1) = 33; a(3) = A045940(2) = 603; a(4) = A045941(1) = 602; a(5) = A045942(1) = 2522.

Crossrefs

Cf. A045984, A356953, A374449.

Sequence in context: A064008 A093752 A045984 * A219342 A256278 A356953

Adjacent sequences: A077654 A077655 A077656 * A077658 A077659 A077660

Keyword

nonn,more

Author

Reinhard Zumkeller, Nov 13 2002

Extensions

a(6)-a(14) from Martin Fuller, Nov 21 2006

Status

approved