123457
This number is a prime.
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The smallest prime whose 2nd, 3rd, 4th, and 5th digits are
2, 3, 4, and 5 respectively (OEIS A371845). Coincidentally, 6
is absent from the number. This is also the smallest
6-digit prime with strictly increasing digits (OEIS
A071362). If its
digits are taken as (a, b, c, d, e, f) = (1, 2, 3, 4, 5,
7), then except the initial term a!² = 1, all partial sums
of squared factorials (a!² + b!², a!² + b!² + c!², …) are
prime. [Ahmed]
Submitted: 2026-06-17 04:56:01; Last Modified: 2026-06-17 12:44:20.
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