1601

This number is a prime.

+ The smallest bemirp of the form a^2 + 1.

+ Anti-nuclear vigils are held at 1601 Pennsylvania Avenue (Lafayette Park) in Washington, D.C.

+ 1601 is the largest of 40 consecutive primes represented by the quadratic formula n2 + n + 41, which is prime for 0 ≤ n ≤ 39. [Terr]

+ Pierre de Fermat ("The Prince of Amateurs") was once thought to be born in 1601, but this was a different Pierre de Fermat – a half-brother who died in infancy! Did he know that 1601 to the power 1601 ends with 1601? See PC1607. [Capelle]

+ x2 - 79x + 1601 gives primes for x = 0 to 79, with one repetition of each prime obtained. Note that 79 and 1601 are primes. [Capelle]

+
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+ The smallest bemirp p such that p^sod(p)-sod(p) is prime, i.e., (1601^(1+6+0+1)-(1+6+0+1)) is a prime number. [Bajpai]

+ The smallest bemirp p such that 12*p - 1 and 12*p + 1 is a twin prime pair. [Bajpai]

+ Danish astronomer Tycho Brahe, known for his accurate and comprehensive astronomical observations, died in the bemirp year 1601. (His body was exhumed for the first time in 1901.)

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

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