What is the 1250th prime number?
The 1250th prime number is 10177. The next prime is 10181 (a gap of 4) and the one before is 10169.
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 1250th one is 10177.
- 2
10177 is prime because no prime up to ā10177 ā 100.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1250th prime is close to 1250 Ć ln(1250) ā 8914, and here it is 10177.
- 4
10177 has no twin: neither 10175 nor 10179 is prime.
Primes around the 1250th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1247 | 10159 | 8 |
| 1248 | 10163 | 4 |
| 1249 | 10169 | 6 |
| 1250 | 10177 | 8 |
| 1251 | 10181 | 4 |
| 1252 | 10193 | 12 |
| 1253 | 10211 | 18 |
Questions
What is the 1250th prime number?
10177.
Which prime number is 10177?
10177 is the 1250th prime number.
What is the sum of the first 1250 primes?
5,948,493.