What is the 1251st prime number?
The 1251st prime number is 10181. The next prime is 10193 (a gap of 12) and the one before is 10177.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1251st one is 10181.
- 2
10181 is prime because no prime up to ā10181 ā 100.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1251st prime is close to 1251 Ć ln(1251) ā 8922, and here it is 10181.
- 4
10181 has no twin: neither 10179 nor 10183 is prime.
Primes around the 1251st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1248 | 10163 | 4 |
| 1249 | 10169 | 6 |
| 1250 | 10177 | 8 |
| 1251 | 10181 | 4 |
| 1252 | 10193 | 12 |
| 1253 | 10211 | 18 |
| 1254 | 10223 | 12 |
Questions
What is the 1251st prime number?
10181.
Which prime number is 10181?
10181 is the 1251st prime number.
What is the sum of the first 1251 primes?
5,958,674.