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List of prime numbers

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Record originEnglish Wikipedia
Text licenseCC BY-SA 4.0
Source revisionSep 22, 2026
Entity authorityQ225987 ↗
Source-derived summary

This is a list of articles about prime numbers. A prime number (or prime) is a natural number greater than 1 that has no divisors other than 1 and itself. By Euclid's theorem, there is an infinite number of prime numbers. Subsets of the prime numbers may be generated with various formulas for primes.

The first 1,000 primes are listed below, followed by lists of notable types of prime numbers in alphabetical order, giving their respective first terms. The number 1 is neither prime nor composite.

The first 1,000 prime numbers

The following table lists the first 1,000 primes, with 20 columns of consecutive primes in each of the 50 rows.

(sequence A000040 in the OEIS).

The Goldbach conjecture verification project reports that it has computed all primes smaller than 4×1018. That means 95,676,260,903,887,607 primes (nearly 1017), but they were not stored.

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The public source identifies “List of prime numbers” as wikimedia list article. This brief keeps that definition visible, then builds a research path around List, prime and numbers.

Editorial reviewA dependable orientation record for establishing vocabulary, names and a first evidence trail. The current lead gives the account dated anchors—1018, 1017—that can be checked directly. The selected authority fields contribute no independent date. Its value is orientation rather than verdict, with List, prime and numbers providing the first useful test.
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Named sources, stable identifiers and responsible institutions provide the strongest route from overview to verifiable evidence. The source revision retrieved here is dated Sep 22, 2026. The linked authority identifier is Q225987. None of the 0 selected statements returned an explicit reference. The first chronological checks are 1018 and 1017.

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This entry incorporates text from “List of prime numbers” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.