What is the 1258th prime number?
The 1258th prime number is 10259. The next prime is 10267 (a gap of 8) and the one before is 10253.
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 1258th one is 10259.
- 2
10259 is prime because no prime up to ā10259 ā 101.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1258th prime is close to 1258 Ć ln(1258) ā 8979, and here it is 10259.
- 4
10259 has no twin: neither 10257 nor 10261 is prime.
Primes around the 1258th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1255 | 10243 | 20 |
| 1256 | 10247 | 4 |
| 1257 | 10253 | 6 |
| 1258 | 10259 | 6 |
| 1259 | 10267 | 8 |
| 1260 | 10271 | 4 |
| 1261 | 10273 | 2 |
Questions
What is the 1258th prime number?
10259.
Which prime number is 10259?
10259 is the 1258th prime number.
What is the sum of the first 1258 primes?
6,030,303.