What is the 1273rd prime number?
The 1273rd prime number is 10391. The next prime is 10399 (a gap of 8) and the one before is 10369.
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 1273rd one is 10391.
- 2
10391 is prime because no prime up to ā10391 ā 101.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1273rd prime is close to 1273 Ć ln(1273) ā 9101, and here it is 10391.
- 4
10391 has no twin: neither 10389 nor 10393 is prime.
Primes around the 1273rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1270 | 10343 | 6 |
| 1271 | 10357 | 14 |
| 1272 | 10369 | 12 |
| 1273 | 10391 | 22 |
| 1274 | 10399 | 8 |
| 1275 | 10427 | 28 |
| 1276 | 10429 | 2 |
Questions
What is the 1273rd prime number?
10391.
Which prime number is 10391?
10391 is the 1273rd prime number.
What is the sum of the first 1273 primes?
6,185,102.