What is the 1256th prime number?
The 1256th prime number is 10247. The next prime is 10253 (a gap of 6) and the one before is 10243.
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 1256th one is 10247.
- 2
10247 is prime because no prime up to ā10247 ā 101.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1256th prime is close to 1256 Ć ln(1256) ā 8962, and here it is 10247.
- 4
10247 has no twin: neither 10245 nor 10249 is prime.
Primes around the 1256th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1253 | 10211 | 18 |
| 1254 | 10223 | 12 |
| 1255 | 10243 | 20 |
| 1256 | 10247 | 4 |
| 1257 | 10253 | 6 |
| 1258 | 10259 | 6 |
| 1259 | 10267 | 8 |
Questions
What is the 1256th prime number?
10247.
Which prime number is 10247?
10247 is the 1256th prime number.
What is the sum of the first 1256 primes?
6,009,791.