What is the 1257th prime number?
The 1257th prime number is 10253. The next prime is 10259 (a gap of 6) and the one before is 10247.
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 1257th one is 10253.
- 2
10253 is prime because no prime up to ā10253 ā 101.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1257th prime is close to 1257 Ć ln(1257) ā 8971, and here it is 10253.
- 4
10253 has no twin: neither 10251 nor 10255 is prime.
Primes around the 1257th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1254 | 10223 | 12 |
| 1255 | 10243 | 20 |
| 1256 | 10247 | 4 |
| 1257 | 10253 | 6 |
| 1258 | 10259 | 6 |
| 1259 | 10267 | 8 |
| 1260 | 10271 | 4 |
Questions
What is the 1257th prime number?
10253.
Which prime number is 10253?
10253 is the 1257th prime number.
What is the sum of the first 1257 primes?
6,020,044.