Collatz function data for 2^43112609 – 1 (#5 known megaprime)

We publish our first data on the Collatz function for 243112609 – 1  (#5 known megaprime) and two of its odd neighbors located at ±10.

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Additional Collatz function data for 2^42643801 – 1 (#6 known megaprime)

We publish further data on the Collatz function for 242643801 – 1  (#6 known megaprime) and two of its odd neighbors located at ±12.

Once the maximum is reached, the speed of decline for the log of the Collatz  function seems to be the same for all tested numbers and is equal to approximately -0.096.

“Easy Rule 30” available for download

Our “Easy Rule 30” has become available for download.

Please, use the following links to download:

Windows 64-bit version

Windows 32-bit version

Collatz function data for 2^42643801 – 1 (#6 known megaprime)

We publish our first data on the Collatz function for 242643801 – 1  (#6 known megaprime) and two of its odd neighbors located at ±12.

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“Easy Rule 30” software developed

On October 1, 2019 a well-known American mathematician Stephen Wolfram announced “Wolfram Rule 30 Prizes” science competition.

The competition is devoted to the solution of the so-called “Rule 30” – one of the unsolved math problems from a cellular automaton area.

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Sequence of 19353600 record 288-step delayed palindromes published

Our sequence of 19353600 record 288-step delayed palindromes is published as A326414 .

The sequence starts with 12000700000025339936491 (the number discovered by Rob van Nobelen on April 26, 2019), ends with 29463993352000000700020 and contains all terms known at present.

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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Sequence of record 288-step delayed palindromes found

On 26 April 2019, Rob van Nobelen discovered the 23-digit number 12000700000025339936491 – the first one that takes record-breaking 288 steps to reach a final 142-digit palindrome. The previous record (261 steps) was set in 2005.

We expanded the found number to a sequence with 19353600 terms in total. This sequence currently includes all known 288-step delayed palindromes.

All results are contributed to OEIS and will be published in due course.

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