What is the 1274th prime number?
The 1274th prime number is 10399. The next prime is 10427 (a gap of 28) and the one before is 10391.
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 1274th one is 10399.
- 2
10399 is prime because no prime up to ā10399 ā 101.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1274th prime is close to 1274 Ć ln(1274) ā 9109, and here it is 10399.
- 4
10399 has no twin: neither 10397 nor 10401 is prime.
Primes around the 1274th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1271 | 10357 | 14 |
| 1272 | 10369 | 12 |
| 1273 | 10391 | 22 |
| 1274 | 10399 | 8 |
| 1275 | 10427 | 28 |
| 1276 | 10429 | 2 |
| 1277 | 10433 | 4 |
Questions
What is the 1274th prime number?
10399.
Which prime number is 10399?
10399 is the 1274th prime number.
What is the sum of the first 1274 primes?
6,195,501.