Prime Curios!: 545

545
(another Prime Pages' Curiosity)

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The smallest palindrome resulting from the sum of an ascending sequence of consecutive primes with a descending sequence of the same primes as exponents (2⁷ + 3⁵ + 5³ + 7² = 545). [Gevisier]

1*1! + 2*2! + 3*3! + ... + 545*545! is a titanic prime. [Firoozbakht]

n⁶ + 545 is composite for n = 1303, ..., 10583. [Wesolowski]

(There is one curio for this number that has not yet been approved by an editor.)

To link to this page use http://primes.utm.edu/curios/page.php?number_id=856