Stephan Schöler has discovered a new record for the largest known reversible prime, also known as an emirp [1].
This discovery advances the field of number theory by identifying a prime number that remains prime when its digits are reversed. Such numbers are rare compared to standard primes, and finding record-breaking examples requires significant computational power and mathematical precision.
Matt Parker detailed the discovery on the Numberphile YouTube channel [1]. Parker said there is a new title-holder for the largest known reversible prime [1]. The specific number identified by Schöler involves a calculation based on 10 to the power of 10,001 [1].
Prime numbers are the fundamental building blocks of mathematics, but emirps possess a unique symmetry. To qualify as an emirp, a number must be prime, and its reverse must also be a different prime number. This distinction excludes palindromic primes, which read the same forward and backward.
Schöler discovered the number [1]. The process of verifying such massive primes often involves specialized algorithms that can test primality without needing to factor the number entirely. This specific record marks a new milestone in the search for these symmetrical primes.
Parker's explanation highlights the ongoing effort by mathematicians to map the properties of primes. The discovery of this specific emirp provides a new benchmark for researchers studying the distribution of reversible primes across the number line [1].
“Stephan Schöler discovered the number.”
The discovery of a new largest emirp demonstrates the continued application of high-level computation to solve classical problems in number theory. While reversible primes have few immediate practical applications in industry, the algorithms used to find them often contribute to the development of more efficient primality tests used in cryptography and computer science.
