Prime Curios!: 5882353

5882353
(another Prime Pages' Curiosity)

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GIMPS has discovered a new largest known prime number: 2^82589933-1 (24,862,048 digits)

5882353 = 588² + 2353². [Madachy]

Any 16-digit number that has any combination of 4 sequential digits that repeat themselves throughout the number (abcdabcdabcdabcd), has 5882353 as a largest prime factor. [Schuler]

Any 16-digit repdigit has 5882353 as a largest prime factor. [Schuler]

The significant digits of the reciprocal of prime number 17 rounded to eight decimals (0.0588235294117647...). Note the palindromic result of 5882353 multiplied with 17. [De Geest]

A prime composed of consecutive Fibonacci numbers (2, 3, 5, and 8). Note that the sum of digits, 34, is also a Fibonacci number.

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

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