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- - **What minimum exponent would give 100M digit prime?**
(*https://www.mersenneforum.org/showthread.php?t=13313*)

What minimum exponent would give 100M digit prime?Hello All,
What minimum exponent value would give a 100M digit prime? Also is there a calculator on the internet or that I could download that could give me the specific number that any exponent I use in the formula 2^P - 1? Like to calculate the value of: 2^49254458 - 1? Of course my computer's calculator gives infinity!!!!! Thanks. |

[url]http://mersenne-aries.sili.net/digits.php[/url] calculate number of digits from an exponent
i think it something above 332,000,000 for the exponent to give a 100M digit mersenne number. |

[QUOTE=CADavis;212224][url]http://mersenne-aries.sili.net/digits.php[/url] calculate number of digits from an exponent
i think it something above 332,000,000 for the exponent to give a 100M digit mersenne number.[/QUOTE] Thanks. You are right. I don't think I will be winning that prize. lol |

[QUOTE=CADavis;212224][url]http://mersenne-aries.sili.net/digits.php[/url] calculate number of digits from an exponent
i think it something above 332,000,000 for the exponent to give a 100M digit mersenne number.[/QUOTE] Its pretty easy if you have a proper calculator. Just 1e6*ln(10)/ln(2)=3321928.09 or so. |

332192831 is the first prime that is 100 M digits.
There is a thread for those that TF'ing those in the range. |

[QUOTE=Uncwilly;212247]332192831 is the first prime that is 100 M digits.[/QUOTE]
[pedant]No, it's the first prime p such that log[sub]10[/sub](2[sup]p[/sup]-1) > 99,999,999.[/pedant] |

[QUOTE=lfm;212230]Its pretty easy if you have a proper calculator. Just 1e6*ln(10)/ln(2)=3321928.09 or so.[/QUOTE]
oops should be 1e8! |

[QUOTE=10metreh;212278][pedant]No, it's the first prime p such that log[sub]10[/sub](2[sup]p[/sup]-1) > 99,999,999.[/pedant][/QUOTE]
You didn't see my [lazy shorthand][/lazy shorthand]? |

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