What is the 1254th prime number?
The 1254th prime number is 10223. The next prime is 10243 (a gap of 20) and the one before is 10211.
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 1254th one is 10223.
- 2
10223 is prime because no prime up to ā10223 ā 101.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1254th prime is close to 1254 Ć ln(1254) ā 8946, and here it is 10223.
- 4
10223 has no twin: neither 10221 nor 10225 is prime.
Primes around the 1254th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1251 | 10181 | 4 |
| 1252 | 10193 | 12 |
| 1253 | 10211 | 18 |
| 1254 | 10223 | 12 |
| 1255 | 10243 | 20 |
| 1256 | 10247 | 4 |
| 1257 | 10253 | 6 |
Questions
What is the 1254th prime number?
10223.
Which prime number is 10223?
10223 is the 1254th prime number.
What is the sum of the first 1254 primes?
5,989,301.