Sexy Prime Checker is a free online tool used to check if two numbers are sexy prime numbers.
What is a sexy prime?
Sexy prime numbers are prime number pairs where the difference between the two numbers is 6. For example, 5 and 11 are sexy primes because 11 – 5 = 6. The name sexy primes come from the pun where the Latin word for six is sex.
How to check if two integers are sexy prime numbers
By definition, we can know that the sexy prime numbers must satisfy two conditions:
- Both numbers are prime.
- The difference between two numbers is 6.
So, to judge whether two numbers are sexy prime numbers, 2 steps must be taken
- Determine if they are both prime numbers.
- Calculate the difference between two numbers.
For example, are 101 and 107 sexy prime?
First, determine whether 101 and 107 are prime numbers. With the Prime and Composite Number Checker, we can easily get that both 101 and 107 are prime numbers.
At the same time, the difference between them is 107 – 101 = 6. So, 101 and 107 are sexy prime.
Top 100 pairs of sexy prime
- (5, 11)
- (7, 13)
- (11, 17)
- (13, 19)
- (17, 23)
- (23, 29)
- (31, 37)
- (37, 43)
- (41, 47)
- (47, 53)
- (53, 59)
- (61, 67)
- (67, 73)
- (73, 79)
- (83, 89)
- (97, 103)
- (101, 107)
- (103, 109)
- (107, 113)
- (131, 137)
- (151, 157)
- (157, 163)
- (167, 173)
- (173, 179)
- (191, 197)
- (193, 199)
- (223, 229)
- (227, 233)
- (233, 239)
- (251, 257)
- (257, 263)
- (263, 269)
- (271, 277)
- (277, 283)
- (307, 313)
- (311, 317)
- (331, 337)
- (347, 353)
- (353, 359)
- (367, 373)
- (373, 379)
- (383, 389)
- (433, 439)
- (443, 449)
- (457, 463)
- (461, 467)
- (503, 509)
- (541, 547)
- (557, 563)
- (563, 569)
- (571, 577)
- (587, 593)
- (593, 599)
- (601, 607)
- (607, 613)
- (613, 619)
- (641, 647)
- (647, 653)
- (653, 659)
- (677, 683)
- (727, 733)
- (733, 739)
- (751, 757)
- (821, 827)
- (823, 829)
- (853, 859)
- (857, 863)
- (877, 883)
- (881, 887)
- (941, 947)
- (947, 953)
- (971, 977)
- (977, 983)
- (991, 997)
- (1013, 1019)
- (1033, 1039)
- (1063, 1069)
- (1087, 1093)
- (1091, 1097)
- (1097, 1103)
- (1103, 1109)
- (1117, 1123)
- (1123, 1129)
- (1181, 1187)
- (1187, 1193)
- (1217, 1223)
- (1223, 1229)
- (1231, 1237)
- (1277, 1283)
- (1283, 1289)
- (1291, 1297)
- (1297, 1303)
- (1301, 1307)
- (1321, 1327)
- (1361, 1367)
- (1367, 1373)
- (1423, 1429)
- (1427, 1433)
- (1433, 1439)
- (1447, 1453)
How to use the sexy prime checker
The procedure to use the sexy prime checker is as follows:
- Enter 2 positive integers in the two input boxes respectively.
- Click Calculate button to check whether the input numbers are sexy prime numbers.
- Click the Reset button to start a new verification.
Solved examples using the sexy prime checker
Example 1: Are 1301 and 1321 sexy prime?
Enter 1301 into the first input box.
Enter 1321 into the second input box.
Then click Calculate button, as shown in the figure, 1301 and 1321 are not sexy prime. The difference between is 1321 – 1301 = 20, not 6.
Example 2: Are 1997 and 2003 sexy prime?
Enter 1997 into the first input box.
Enter 2003 into the second input box.
Then click Calculate button, as shown in the figure, 1997 and 2003 are sexy prime.
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