- **Math**
(*https://www.mersenneforum.org/forumdisplay.php?f=8*)

- - **Loud thinking on irregular primes**
(*https://www.mersenneforum.org/showthread.php?t=8607*)

Loud thinking on irregular primesThe relevant numerator of an irregular prime which IS NOT a Mangammal
prime has the form 3^n-2.This can easily be identified, on pari, by {p(n)=(3^n-2)/p'} where p' stands for irregular prime which is not a Mangammal prime.The required number is the only integer when we print p(n) for n=1,p'-1. Further observations to be continued. A.K.Devaraj |

[QUOTE=devarajkandadai;109732]The relevant numerator of an irregular prime which IS NOT a Mangammal
prime has the form 3^n-2.This can easily be identified, on pari, by {p(n)=(3^n-2)/p'} where p' stands for irregular prime which is not a Mangammal prime.The required number is the only integer when we print p(n) for n=1,p'-1. Further observations to be continued. A.K.Devaraj[/QUOTE] I must first thank Maxal for giving me the training to write the above mini-program(To be contd) |

Loud thinking on iregular primes[QUOTE=devarajkandadai;109785]I must first thank Maxal for giving me the training to write the above mini-program(To be contd)[/QUOTE]
Secondly I am happy that I could find atleast an indirect aplication of Mangammal primes. What can we say about the numerator of Bernoulli numbers involving iMangammal-irregular primes?Its shape is neither 2^n-1 nor that of 3^n-2. I will revert to this later, A.K.Devaraj |

Loud Thinking on Irregular primes[QUOTE=devarajkandadai;109895]Secondly I am happy that I could find atleast an indirect aplication of Mangammal primes.
What can we say about the numerator of Bernoulli numbers involving iMangammal-irregular primes?Its shape is neither 2^n-1 nor that of 3^n-2. I will revert to this later, A.K.Devaraj[/QUOTE] B_20 (-174611) seems to be one such i.e. with shape (3^n-2).In other words the numerator consists of Mangammal-Irregular primes. A.K.Devaraj |

Loud Thinking on irregular primes[QUOTE=devarajkandadai;109895]Secondly I am happy that I could find atleast an indirect aplication of Mangammal primes.
What can we say about the numerator of Bernoulli numbers involving iMangammal-irregular primes?Its shape is neither 2^n-1 nor that of 3^n-2. I will revert to this later, A.K.Devaraj[/QUOTE] In studying the possible and impossible structure of the numerator of Bernoulli numbers we come across Mangammal composites (A 119691-OEIS).The numerator of Bernoulli numbers does not permit irregular Mangammal composites. A.K.Devaraj |

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