What is the 1270th prime number?
The 1270th prime number is 10343. The next prime is 10357 (a gap of 14) and the one before is 10337.
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 1270th one is 10343.
- 2
10343 is prime because no prime up to ā10343 ā 101.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1270th prime is close to 1270 Ć ln(1270) ā 9076, and here it is 10343.
- 4
10343 has no twin: neither 10341 nor 10345 is prime.
Primes around the 1270th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1267 | 10331 | 10 |
| 1268 | 10333 | 2 |
| 1269 | 10337 | 4 |
| 1270 | 10343 | 6 |
| 1271 | 10357 | 14 |
| 1272 | 10369 | 12 |
| 1273 | 10391 | 22 |
Questions
What is the 1270th prime number?
10343.
Which prime number is 10343?
10343 is the 1270th prime number.
What is the sum of the first 1270 primes?
6,153,985.