Collatz function data for 2^37156667 – 1 (#7 known megaprime)

We publish our first data on the Collatz function for 237156667 – 1  (#7 known megaprime) and two of its odd neighbors located at ±26.

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Collatz function data for 2^32582657 – 1 (#8 known megaprime)

We publish our first data on the Collatz function for 232582657 – 1  (#8 known megaprime) and two of its odd neighbors located at ±71149323674102624414.

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Collatz function data for 10223×2^31172165 + 1 (#9 known megaprime)

We publish our first data on the Collatz function for 10223×231172165 + 1  (#9 known megaprime) and two of its odd neighbors located at ±4.

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Collatz function data for 2^30402457 – 1 (#10 known megaprime)

We publish our first data on the Collatz function for 230402457 – 1  (#10 known megaprime) and two of its odd neighbors located at ±2.

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Collatz function data for 2^25964951 – 1 (#11 known megaprime)

We publish our first data on the Collatz function for 2^25964951 – 1 (#11 known megaprime) and two of its odd neighbors located at ±2. Continue reading

Collatz function data for 2^24036583 – 1 (#12 known megaprime)

We publish our first data on the Collatz function for 2^24036583 – 1 (#12 known megaprime) and two of its odd neighbors located at ±2. Continue reading

Collatz function data for 2^20996011 – 1 (#13 known megaprime)

We publish our first data on the Collatz function for 2^20996011 – 1 (#13 known megaprime) and two of its odd neighbors located at ±2. Continue reading

Collatz function data for 1059094^1048576 + 1 (#14 known megaprime)

We publish our first data on the Collatz function for 1059094^1048576 + 1 (#14 known megaprime) and two of its odd neighbors located at ±4. Continue reading

Collatz function data for 919444^1048576 + 1 (#15 known megaprime)

We publish our first data on the Collatz function for (919444^1048576 + 1 (#15 known megaprime) and two of its odd neighbors located at ±10. Continue reading

Collatz function data for 168451×2^19375200 + 1 (#16 known megaprime)

We publish our first data on the Collatz function for 168451×2^19375200 + 1 (#16 known megaprime) and its closest 2 odd neighbors. Continue reading

Collatz conjecture test for the Top 16 megaprimes started

We have started to test the Collatz conjecture for the Top 16 megaprimes as well as some of their selected odd neighbors. The results will be published in due course.

Provisional 50th Mersenne prime M77232917 supports Collatz conjecture

On March 17th, 2018 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the provisional 50th Mersenne prime M77232917 for being in agreement with Collatz conjecture and supported it. Continue reading

Number of steps in Collatz sequence for Mersenne primes from 46th to 49th published in OEIS

On November 14, 2017 our data on number of steps in Collatz sequence for Mersenne primes with the provisional index from 46th to 49th were included in OEIS as a comment to A181777. Prior to this A181777 contained information up to the 45th Mersenne prime only. Continue reading

Number of steps in Collatz sequence for Mersenne primes available for download

The data on the number of steps to reach one in Collatz sequence for Mersenne primes from the 1st to 45th (the last with confirmed index) became available for download from OEIS (A181777). The full sequence from the 1st to 49th Mersenne prime (the last known as of today) could be downloaded from our repository.

We contunue to publish our results in due course.

Number of steps in Collatz sequence for Mersenne primes published

On September 22, 2017 our data on number of steps in Collatz sequence for Mersenne primes were included in OEIS as an addition to A181777. Prior to this A181777 contained information up to the 42nd Mersenne prime only. Continue reading