A183078 Composite numbers of the form 2^p - 1, with p prime, for which each prime divisor has the form 4j + 3.

8796093022207, 604462909807314587353087, 12554203470773361527671578846415332832204710888928069025791, 4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826047

Offset: 1

Author

Stuart Clary, Dec 23 2010

Keywords

• nonn
• hard

Comments

Needed factorizations are in the Cunningham Project.

Examples

			8796093022207 = 2^43 - 1 = 431 * 9719 * 2099863.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..12
• S. S. Wagstaff, Jr., The Cunningham Project.

Crossrefs

Cf. A000668, A136005, A183075, A183076, A183077.

Cf. A000043, A136003, A183071, A183072, A183073, A183074.

Formula

a(n) = 2^A183074(n) - 1.