Friday, February 21, 2014

3583

3583 is a prime number.

3581 and 3583 form a twin prime pair.

3583 is the smallest number requiring an addition chain of length 16 (A003064).

3583 is the sum of 11 distinct powers of 2 (A038462): 3583 = 211 + 210 + 28 + 27 + 26 + 25 + 24 + 23 + 22 + 21 + 20.

3583 is the smallest prime with exactly nine consecutive ones in the longest run of ones in its binary expansion (A090593).

3583 divides 959 - 1.


The Commodore VIC-20 (an early 8-bit computer from 1980) had "3853 bytes free" once started up under Commodore BASIC V2.

Source: Prime Curios!

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