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Previous Prime Number

Tool to search for prime numbers located before a number, or the nth previous prime number smaller than/inferior to a given number.

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Previous Prime Number -

Tag(s) : Arithmetics

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Previous Prime Number

Previous Prime Less than N Search



Answers to Questions (FAQ)

How to calculate the previous prime number?

No mathematical formula allow to automatically calculate the prime number preceding any number N (less than N). dCode performs primality tests on numbers below the requested number until a prime number is found.

Example: The largest prime number that precedes 100 is 97

Example: The 10th prime number preceding 1000 is 937 (so there is a list of 9 prime numbers between 938 and 999 included)

The number $ N $ must be a positive real number.

How to find greatest primes with n digits ?

The largest number with $ n $ digits is $ 10^n -1 $ (that is always a multiple of 9), so the largest prime number with $ n $ digits is the prime number that precedes $ 10^n-1 $.

Example: The largest 4-digit number is $ 10^4 -1 = 10000-1 = 9999 $ so the largest prime number with $ n $ digits is the prime number preceding $ 10000 $ that is $ 9973 $.

The first 20 prime numbers in this list are: 7 (largest 1 digit prime), 97 (largest 2-digit prime), 997 (largest 3-digit prime), 9973, 99991, 999983, 9999991, 99999989, 999999937, 9999999967, 99999999977, 999999999989, 9999999999971, 99999999999973, 999999999999989, 9999999999999937, 99999999999999997, 999999999999999989, 9999999999999999961, 99999999999999999989 etc.

What are twin primes numbers?

A prime number and the previous prime number are twins primes when their difference equals 2.

Example: 11 and 13 are called twins primes as 13-11 = 2.

Source code

dCode retains ownership of the online "Previous Prime Number" source code. Except explicit open source licence (indicated CC / Creative Commons / free), the "Previous Prime Number" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Previous Prime Number" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, copy-paste, or API access for "Previous Prime Number" are not public, same for offline use on PC, tablet, iPhone or Android ! Remainder : dCode is free to use.

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Questions / Comments

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Source : https://www.dcode.fr/previous-prime-number
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