A084436 Smallest prime which is one more than the square of a squarefree number with n prime divisors.

2, 5, 37, 4357, 44101, 5336101, 1542132901, 325550124901, 94083986096101, 79124632306820101, 76038771646854116101, 134352733834876324868101, 110069230506987790238300101, 293453931946241286523079676901, 571682082245643971439082829684101

Offset

0,1

Links

Sean A. Irvine, Table of n, a(n) for n = 0..50

Example

a(2) = (2*3)^2 + 1 = 37.
a(11) = (2*3*5*7*11*13*17*19*23*31*53)^2 + 1 = 134352733834876324868101. - Sean A. Irvine, Apr 15 2026

Crossrefs

Sequence in context: A051739 A189409 A222318 * A210482 A053609 A036780

Adjacent sequences: A084433 A084434 A084435 * A084437 A084438 A084439

Keyword

nonn

Author

Amarnath Murthy, Jun 03 2003

Extensions

a(7)-a(13) from David Wasserman, Dec 28 2004

a(11) corrected and more terms from Sean A. Irvine, Apr 15 2026

Status

approved