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Large primes:

• Decimal values & English names of known Mersenne primes   <<== Try Me!!!
• The largest known prime
• How to find a new largest known prime   <<== Try this tutorial

My (Co-)Discovery of the 25th & 26th Mersenne primes:

• The 25th Mersenne prime is 2²¹⁷⁰¹-1   (see also M₂₁₇₀₁)
• The 25th Perfect number is 2²¹⁷⁰⁰ * (2²¹⁷⁰¹-1)
• The 26th Mersenne prime is 2²³²⁰⁹-1   (see also M₂₃₂₀₉)
• The 26th Perfect number is 2²³²⁰⁸ * (2²³²⁰⁹-1)

As a member of the Amdahl 6, I Co-Discovered these primes:

• The Amdahl 6 group
  • The largest Amdahl 6 prime: 391581 * 2²¹⁶¹⁹³-1
  • The 3rd largest Amdahl 6 twin prime: 663777*2⁷⁶⁵⁰ +/- 1
  • The 2nd largest Amdahl 6 twin prime: 571305*2⁷⁷⁰¹ +/- 1
  • The largest Amdahl 6 twin prime: 1706595*2¹¹²³⁵ +/- 1
  • The Amdahl 6 method for finding large non-Mersenne primes

I am a member of the EFF Cooperative Computing Awards Team:

• EFF Cooperative Computing Awards home page
• EFF Cooperative Computing Awards official rules
• EFF Cooperative Computing Awards FAQ
• EFF Prime Number Resources and Info

Slowinski and Gage's discovery of the 34th Mersenne prime:

• Slowinski and Gage's large Mersenne prime is 2^1257787-1 (see also M_1257787)
• Slowinski and Gage's large Perfect number is 2^1257786 * (2^1257787-1)
• A San Jose Mercury News article about Slowinski and Gage's discovery
• My Press release about Slowinski and Gage's discovery

Misc prime numbers:

• In private correspondence with Chris K. Caldwell, I announced that ^C5 = 2^(2127-1)-1 has no prime factor < 5 * 10⁵¹.
• Helped prove that (37*10²⁸⁸³-73)/99 (37373 ... 73, 2883-digits) is a Smoothly Undulating Palindromic Prime (SUPP).
• I have contributed a number of ``Prime Curios!'' table entries
• A good number of small and large primes may be found in my curious numbers related to primes table, some of which have been entered into in the ``Prime Curios!'' table

Some useful links

Mersenne primes

• Known Mersenne Prime Digits and Names
• Caldwell's article on the discovery of 2^13466917-1
• Great Internet Mersenne Prime Search
• GIMPS search status

Definitions and theory

• General Mersenne prime information
• Prime
• Mersenne prime
• Mersenne number
• Mersenne conjecture
• On proving that a number is prime
• Lists of the Large prime numbers

Source code

• Calc: able to compute decimal values primes
• Number: able to compute English names of primes
• GIMPS code: has been used to prove primality of some Mersenne primes
• GIMPS search credits and thank yous

Misc prime links

• Landon Curt Noll's prime number work
• Dr. Caldwell's The Prime Pages
• The Amdahl 6 group
• Prime Curios! (a fun site!)
• Landon Curt Noll's table of curious numbers related to primes
• miscellaneous primes related to 37