Term

Cousin Prime

Primes p such that p ± 4 is also prime (3, 7, 13, 19, 37, 43, 67, …).

2,431 numbers tagged.

A cousin prime is a prime \(p\) such that \(p + 4\) or \(p - 4\) is also prime. Cousin prime pairs: \((3, 7), (7, 11), (13, 17), (19, 23), (37, 41), (43, 47), (67, 71)\).

Like twin primes, it's conjectured that there are infinitely many cousin prime pairs, though this is unproven.

69,383 69,427 69,431 69,463 69,467 69,493 69,497 69,763 69,767 69,829 69,833 69,997 70,001 70,117 70,121 70,177 70,181 70,237 70,241 70,309 70,313 70,663 70,667 70,849 70,853 71,143 71,147 71,167 71,171 71,233 71,237 71,257 71,261 71,329 71,333 71,359 71,363 71,479 71,483 71,593 71,597 71,707 71,711 71,983 71,987 72,043 72,047 72,073 72,077 72,169 72,173 72,223 72,227 72,337 72,341 72,379 72,383 72,493 72,497 72,547 72,551 72,613 72,617 72,643 72,647 72,763 72,767 72,889 72,893 72,907 72,911 72,949 72,953 72,973 72,977 73,009 73,013 73,039 73,043 73,327 73,331 73,417 73,421 73,609 73,613 73,819 73,823 73,939 73,943 74,017 74,021 74,047 74,051 74,197 74,201 74,293 74,297 74,353 74,357 74,377 74,381 74,449 74,453 74,527 74,531 74,713 74,717 74,827 74,831 74,857 74,861 74,869 74,873 74,887 74,891 74,929 74,933 75,013 75,017 75,037 75,041 75,079 75,083 75,223 75,227 75,403 75,407 75,553 75,557 75,679 75,683 75,703 75,707 75,793 75,797 75,937 75,941 75,979 75,983 75,997 76,001 76,099 76,103 76,159 76,163 76,249 76,253 76,507 76,511 76,537 76,541 76,603 76,607 76,753 76,757 76,777 76,781 77,137 77,141 77,167 77,171 77,239 77,243 77,263 77,267 77,347 77,351 77,509 77,513 77,569 77,573 77,587 77,591 77,617 77,621 77,719 77,723 77,743 77,747 77,797 77,801 77,863 77,867 77,929 77,933 78,163 78,167 78,229 78,233 78,307 78,311 78,649 78,653 78,787 78,791 78,853 78,857 78,889 78,893 79,039

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