26405436301

This number is a prime.

2 6405436301

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Largest known prime partial sum of number of partitions of 1 into n powers of 1/2. Equivalently, largest known prime partial sum of (according to one definition of "binary") the number of binary rooted trees: 1 + 1 + 1 + 2 + 3 + 5 + 9 + 16 + 28 + 50 + 89 + 159 + 285 + 510 + 914 + 1639 + 2938 + 5269 + 9451 + 16952 + 30410 + 54555 + 97871 + 175586 + 315016 + 565168 + 1013976 + 1819198 + 3263875 + 5855833 + 10506175 + 18849555 + 33818794 + 60675786 + 108861148 + 195312750 + 350419594 + 628704034 + 1127987211 + 2023774607 + 3630948907 + 6514456005 + 11687891925 = 26405436301 is prime. [Post]

Submitted: 2010-02-18 01:01:11; Last Modified: 2010-02-18 02:34:41.