A359641 a(n) is the least odd prime not in A001359 such that all subsequent composites in the gap up to the next prime have exactly n odd prime factors, all with exponent 1.

307, 8929, 992263, 229658167, 28674536239

Offset: 2

Author

Hugo Pfoertner, Jan 17 2023

Keywords

• nonn
• hard
• more

Examples

			a(3) = 8929: 8930 = 2*5*19*47, 8931 = 3*13*229, 8932 = 2^2*7*11*29;
a(6) = 28674536239: a(6)+1 = 2^4*5*7*31*43*107*359, a(6)+2 = 3*13*23*151*269*787, a(6)+3 = 2*11*17*19*37*191*571.
		

Crossrefs

Cf. A001222, A001359, A087436, A285800, A359640.

Programs

PARI

obi(x,m=0) = {my (x2=x>>valuation(x,2), o=omega(x2)); if (o2, for (j=pp+1, p-1, my (mo=obi(j)); if (mo