What is the 1269th prime number?
The 1269th prime number is 10337. The next prime is 10343 (a gap of 6) and the one before is 10333.
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 1269th one is 10337.
- 2
10337 is prime because no prime up to ā10337 ā 101.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1269th prime is close to 1269 Ć ln(1269) ā 9068, and here it is 10337.
- 4
10337 has no twin: neither 10335 nor 10339 is prime.
Primes around the 1269th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1266 | 10321 | 8 |
| 1267 | 10331 | 10 |
| 1268 | 10333 | 2 |
| 1269 | 10337 | 4 |
| 1270 | 10343 | 6 |
| 1271 | 10357 | 14 |
| 1272 | 10369 | 12 |
Questions
What is the 1269th prime number?
10337.
Which prime number is 10337?
10337 is the 1269th prime number.
What is the sum of the first 1269 primes?
6,143,642.