Twin Primes up to 1000 (All 35 Pairs)
There are exactly 35 twin prime pairs up to 1000. Twin primes are two primes that differ by exactly 2, such as (3, 5) and (11, 13). The largest pair below 1000 is (881, 883).
35Total Pairs
(3, 5)Smallest Pair
(881, 883)Largest in 1000
p2 − p1 = 2Formula Rule
Twin Primes from 1 to 100
| # | Twin Pair | Lower Prime (p) | Upper Prime (p + 2) |
|---|---|---|---|
| 1 | (3, 5) | 3 | 5 |
| 2 | (5, 7) | 5 | 7 |
| 3 | (11, 13) | 11 | 13 |
| 4 | (17, 19) | 17 | 19 |
| 5 | (29, 31) | 29 | 31 |
| 6 | (41, 43) | 41 | 43 |
| 7 | (59, 61) | 59 | 61 |
| 8 | (71, 73) | 71 | 73 |
Twin Primes from 101 to 500
| # | Twin Pair | Lower Prime (p) | Upper Prime (p + 2) |
|---|---|---|---|
| 9 | (101, 103) | 101 | 103 |
| 10 | (107, 109) | 107 | 109 |
| 11 | (137, 139) | 137 | 139 |
| 12 | (149, 151) | 149 | 151 |
| 13 | (179, 181) | 179 | 181 |
| 14 | (191, 193) | 191 | 193 |
| 15 | (197, 199) | 197 | 199 |
| 16 | (227, 229) | 227 | 229 |
| 17 | (239, 241) | 239 | 241 |
| 18 | (269, 271) | 269 | 271 |
| 19 | (281, 283) | 281 | 283 |
| 20 | (311, 313) | 311 | 313 |
| 21 | (347, 349) | 347 | 349 |
| 22 | (419, 421) | 419 | 421 |
| 23 | (431, 433) | 431 | 433 |
| 24 | (461, 463) | 461 | 463 |
Twin Primes from 501 to 1000
| # | Twin Pair | Lower Prime (p) | Upper Prime (p + 2) |
|---|---|---|---|
| 25 | (521, 523) | 521 | 523 |
| 26 | (569, 571) | 569 | 571 |
| 27 | (599, 601) | 599 | 601 |
| 28 | (617, 619) | 617 | 619 |
| 29 | (641, 643) | 641 | 643 |
| 30 | (659, 661) | 659 | 661 |
| 31 | (809, 811) | 809 | 811 |
| 32 | (821, 823) | 821 | 823 |
| 33 | (827, 829) | 827 | 829 |
| 34 | (857, 859) | 857 | 859 |
| 35 | (881, 883) | 881 | 883 |
Frequently Asked Questions
| Question | Answer |
|---|---|
| How many twin prime pairs are there up to 1000? | There are exactly 35 twin prime pairs up to 1000. |
| What is the smallest twin prime pair? | The smallest twin prime pair is (3, 5). |
| What is the largest twin prime pair below 1000? | The largest twin prime pair below 1000 is (881, 883). |
| What are twin primes? | Twin primes are two prime numbers that differ by exactly 2, such as (11, 13) or (41, 43). |
| How many twin prime pairs are there up to 100? | There are 8 twin prime pairs up to 100: (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73). |
| What is the formula for twin primes? | Twin primes follow the rule p2 − p1 = 2. Apart from (3, 5), every pair has the form (6n − 1, 6n + 1). |
Related Number Theory References
| Related Page | What You Will Find |
|---|---|
| Prime Numbers (1-1000) | All 168 primes up to 1000 with a prime checker and distribution table. |
| Co-Prime Numbers (1-100) | Co-prime rules, a pairs chart and a two-number co-prime tester. |
| Prime Factorization Table (1-100) | Prime factors and exponential form for every number from 1 to 100. |