Largest Prime Number Discovery Calculator
Select a record discovery to calculate its digit count, growth over the previous record, years between discoveries and share of the current record.
Largest Prime Number Discovery Calculator inputs
The controls and limits below belong only to this prime calculation.
Largest Prime Number Discovery Calculator results
How the largest prime number discovered tool works
This page targets one distinct largest-prime search intent. It separates finite answers, known records, probable-prime status and formal proof instead of merging them into a generic prime checker.
How the record changed
The timeline focuses on record-setting Mersenne primes from the modern distributed-computing era. It calculates digit growth rather than presenting discovery dates as an unstructured list.
How the current record was found
M136279841 was found by Luke Durant on October 12, 2024. A probable-prime result was independently confirmed with a Lucas–Lehmer test before the public announcement on October 21, 2024.
Distributed computation
Large-prime searches divide candidate exponents among many computers. Each machine performs a defined test and submits the result. Independent verification is essential because a single hardware or software error can invalidate an enormous computation.
Record order versus Mersenne order
A newly found Mersenne prime is not always larger than every previously known one. This timeline includes entries that set a new size record, which is a narrower list than all known Mersenne primes.
Digit-growth interpretation
A record with 1.6 times as many digits is not merely 1.6 times as large numerically. Each added decimal digit multiplies numerical scale by about ten. Digit counts are therefore used only as a manageable length measure.
Current and previous records
The current record contains more than 16 million additional digits compared with M82589933. The visual makes that increase visible while keeping discovery date, exponent and digit count separate.
Largest Prime Number Discovery Calculator questions
Who found the current largest known prime?
Luke Durant.
When was it found?
October 12, 2024.
Was it immediately accepted?
The result was independently confirmed before announcement.
Why are most modern record primes Mersenne primes?
Their special form supports highly optimized testing and verification.