Twin Prime Calculator
Input two numbers to determine if they're twin primes, or specify a range to generate all twin primes within it.
What Are Twin Primes?
Twin primes are pairs of prime numbers that differ by exactly 2. For example, (3, 5), (11, 13), and (17, 19) are all twin primes.
How to Determine if Two Numbers Are Twin Primes
- Verify that the difference between the two numbers is exactly 2.
- Check if both numbers are prime.
- If both conditions are satisfied, the pair is a set of twin primes. Otherwise, they are not.
Examples
Example 1: Are 11 and 13 Twin Primes?
Solution:
Difference: 13 - 11 = 2.
Check primality:
11 is prime.
13 is prime.
Result: 11 and 13 are twin primes.
Example 2: Are 17 and 19 Twin Primes?
Solution:
Difference: 19 - 17 = 2.
Check primality:
17 is prime.
19 is prime.
Result: 17 and 19 are twin primes.
Example 3: Are 23 and 25 Twin Primes?
Solution:
Difference: 25 - 23 = 2.
Check primality:
23 is prime.
25 is not prime.
Result: 23 and 25 are not twin primes.
List of Common Twin Primes
- (3, 5)
- (5, 7)
- (11, 13)
- (17, 19)
- (29, 31)
- (41, 43)
- (59, 61)
- (71, 73)
- (101, 103)
- (107, 109)
- (137, 139)
- (149, 151)
- (179, 181)
- (191, 193)
- (197, 199)
- (227, 229)
- (239, 241)
- (269, 271)
- (281, 283)
- (311, 313)
- (347, 349)
- (419, 421)
- (431, 433)
- (461, 463)
- (521, 523)
- (569, 571)
- (599, 601)
- (617, 619)
- (641, 643)
- (659, 661)
- (809, 811)
- (821, 823)
- (827, 829)
- (857, 859)
- (881, 883)
- (1019, 1021)
- (1031, 1033)
- (1049, 1051)
- (1061, 1063)
- (1091, 1093)
- (1151, 1153)
- (1229, 1231)
- (1277, 1279)
- (1289, 1291)
- (1301, 1303)
- (1319, 1321)
- (1427, 1429)
- (1451, 1453)
- (1481, 1483)
- (1487, 1489)
- (1607, 1609)
- (1619, 1621)
- (1667, 1669)
- (1697, 1699)
- (1721, 1723)
- (1787, 1789)
- (1871, 1873)
- (1877, 1879)
- (1931, 1933)
- (1949, 1951)
- (1997, 1999)
- (2027, 2029)
- (2081, 2083)
- (2087, 2089)
- (2111, 2113)
- (2129, 2131)
- (2141, 2143)
- (2237, 2239)
- (2267, 2269)
- (2309, 2311)
- (2339, 2341)
- (2381, 2383)
- (2549, 2551)
- (2591, 2593)
- (2657, 2659)
- (2687, 2689)
- (2711, 2713)
- (2729, 2731)
- (2789, 2791)
- (2801, 2803)
- (2969, 2971)
- (2999, 3001)
- (3119, 3121)
- (3167, 3169)
- (3251, 3253)
- (3257, 3259)
- (3299, 3301)
- (3329, 3331)
- (3359, 3361)
- (3371, 3373)
- (3389, 3391)
- (3461, 3463)
- (3467, 3469)
- (3527, 3529)
- (3539, 3541)
- (3557, 3559)
- (3581, 3583)
- (3671, 3673)
- (3767, 3769)
- (3821, 3823)