# 61

$t_title is "61"

$t_subtitle is "(just those submitted by Gaydos)"

$t_adjust_path is "/~caldwell/curios/"

$t_class is "prime"

$nunber_id is "50"

$t_meta['description'] is "One of many pages of prime number
curiosities and trivia. This page discusses 61
Come explore a new prime today!"

Just showing those entries submitted by 'Gaydos': (Click here to show all)

The reversal of 61 is a fourth power, and the reversal of its fourth power is a prime. Are there any more primes with both of these properties? [Gaydos]

The sum of the lowest digit in each of the powers of two (2 + 4 + 8 + 1 + 2 + 4 + 1 + 2 + 1 + 0 + 0 + 0 + 1 + 1 + 2 + 3 + 0 ...) is 61 unless there are some large power of two that has no zero. [Gaydos]

61 and its prime index (18) are both reverse fourth powers. There are no more examples of this property in the first billion primes. Are there any more at all? [Gaydos]

(There are 2 curios for this number that have not yet been approved by an editor.)

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