Prime Triplet Checker

Prime Triplet Checker is a free online tool used to check if three numbers are prime triplet numbers.

Prime Triplet Checker

Eg, Is 11 13 15 a prime triplet? Enter 11 into the first input box, enter 13 into the second input box and enter 15 into the third input box.

Calculate Reset

What is a prime triplet?

A prime triplet is a set of three prime numbers where the difference between the largest and the smallest number is 6.

Prime triplet sets are of the form (p, p + 2, p + 6) or (p, p + 4, p + 6). The exceptions to this are (2, 3, 5) and (3, 5, 7) because the difference between the largest and smallest is not 6.

Prime triplets always contain a pair of twin primes such as (p, p + 2) or (p + 4, p + 6), a pair of cousin primes such as (p, p + 4) or (p + 2, p + 6), and a pair of sexy primes such as (p, p + 6).

A single prime number can be a part of up to three triplets. Consider 103. It appears in three prime triplets: (97, 101, 103), (101, 103, 107) and (103, 107, 109). In this case, the five numbers involved in the triplets form a prime quintuplet – (97, 101, 103, 107, 109).

Top 100 pairs of prime triplet

(5, 7, 11)
(7, 11, 13)
(11, 13, 17)
(13, 17, 19)
(17, 19, 23)
(37, 41, 43)
(41, 43, 47)
(67, 71, 73)
(97, 101, 103)
(101, 103, 107)
(103, 107, 109)
(107, 109, 113)
(191, 193, 197)
(193, 197, 199)
(223, 227, 229)
(227, 229, 233)
(277, 281, 283)
(307, 311, 313)
(311, 313, 317)
(347, 349, 353)
(457, 461, 463)
(461, 463, 467)
(613, 617, 619)
(641, 643, 647)
(821, 823, 827)
(823, 827, 829)
(853, 857, 859)
(857, 859, 863)
(877, 881, 883)
(881, 883, 887)
(1087, 1091, 1093)
(1091, 1093, 1097)
(1277, 1279, 1283)
(1297, 1301, 1303)
(1301, 1303, 1307)
(1423, 1427, 1429)
(1427, 1429, 1433)
(1447, 1451, 1453)
(1481, 1483, 1487)
(1483, 1487, 1489)
(1487, 1489, 1493)
(1607, 1609, 1613)
(1663, 1667, 1669)
(1693, 1697, 1699)
(1783, 1787, 1789)
(1867, 1871, 1873)
(1871, 1873, 1877)
(1873, 1877, 1879)
(1993, 1997, 1999)
(1997, 1999, 2003)

(2081, 2083, 2087)
(2083, 2087, 2089)
(2137, 2141, 2143)
(2237, 2239, 2243)
(2267, 2269, 2273)
(2377, 2381, 2383)
(2657, 2659, 2663)
(2683, 2687, 2689)
(2687, 2689, 2693)
(2707, 2711, 2713)
(2797, 2801, 2803)
(3163, 3167, 3169)
(3251, 3253, 3257)
(3253, 3257, 3259)
(3457, 3461, 3463)
(3461, 3463, 3467)
(3463, 3467, 3469)
(3527, 3529, 3533)
(3671, 3673, 3677)
(3847, 3851, 3853)
(3917, 3919, 3923)
(4001, 4003, 4007)
(4127, 4129, 4133)
(4153, 4157, 4159)
(4513, 4517, 4519)
(4517, 4519, 4523)
(4637, 4639, 4643)
(4783, 4787, 4789)
(4787, 4789, 4793)
(4931, 4933, 4937)
(4967, 4969, 4973)
(5227, 5231, 5233)
(5231, 5233, 5237)
(5413, 5417, 5419)
(5437, 5441, 5443)
(5477, 5479, 5483)
(5501, 5503, 5507)
(5647, 5651, 5653)
(5651, 5653, 5657)
(5653, 5657, 5659)
(5737, 5741, 5743)
(6197, 6199, 6203)
(6547, 6551, 6553)
(6823, 6827, 6829)
(6827, 6829, 6833)
(7207, 7211, 7213)
(7753, 7757, 7759)
(7873, 7877, 7879)
(7877, 7879, 7883)
(8087, 8089, 8093)

How to use the prime triplet checker

The procedure to use the prime triplet checker is as follows:

1Enter 3 positive integers in the three input boxes respectively.
2Click Calculate button to check whether the input numbers are prime triplet numbers.
3Click the Reset button to start a new verification.

Solved examples using the prime triplet checker

Example 1: Is 3 5 7 a prime triplet?

Enter 3 into the first input box.

Enter 5 into the second input box.

Enter 7 into the second input box.

Then click Calculate button, as shown in the figure, 3, 5 and 7 is not a prime triplet.

Example 2: Is 1997, 1999 and 2003 a prime triplet?

Enter 1997 into the first input box.

Enter 1999 into the second input box.

Enter 2003 into the second input box.

Then click Calculate button, as shown in the figure, 1997, 1999 and 2003 is a prime triplet.

Prime Triplet Checker