- **enzocreti**
(*https://www.mersenneforum.org/forumdisplay.php?f=156*)

- - **sum of two positive cubes congruent to 1 mod Mersenne prime**
(*https://www.mersenneforum.org/showthread.php?t=25231*)

sum of two positive cubes congruent to 1 mod Mersenne prime344 and 559 are multiple of 43 and congruent to 1 mod a Mersenne prime
344 is infact congruent to 1 mod 7 (the greatest factor is 7) (344-1)=7*7*7 (the greatest factor is 7) 559 is congruent to 1 mod 31 (the greatest factor is 31) (558=...*31) 344 and 559 are sum of two positive cubes are there other number k that are multiple of 43, sum of two positive cubes and such that the greatest factor of (k-1) is a Mersenne prime? |

[QUOTE=enzocreti;537555]344 and 559 are multiple of 43 and congruent to 1 mod a Mersenne prime
344 is infact congruent to 1 mod 7 (the greatest factor is 7) (344-1)=7*7*7 (the greatest factor is 7) 559 is congruent to 1 mod 31 (the greatest factor is 31) (558=...*31) 344 and 559 are sum of two positive cubes are there other number k that are multiple of 43, sum of two positive cubes and such that the greatest factor of (k-1) is a Mersenne prime?[/QUOTE] Yes!!! 43^3*127^3+1 is. |

....it is not multiple of 43
559 is multiple of 43 and congruent to 1 mod 31 |

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