What is the 1272nd prime number?
The 1272nd prime number is 10369. The next prime is 10391 (a gap of 22) and the one before is 10357.
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 1272nd one is 10369.
- 2
10369 is prime because no prime up to ā10369 ā 101.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1272nd prime is close to 1272 Ć ln(1272) ā 9093, and here it is 10369.
- 4
10369 has no twin: neither 10367 nor 10371 is prime.
Primes around the 1272nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1269 | 10337 | 4 |
| 1270 | 10343 | 6 |
| 1271 | 10357 | 14 |
| 1272 | 10369 | 12 |
| 1273 | 10391 | 22 |
| 1274 | 10399 | 8 |
| 1275 | 10427 | 28 |
Questions
What is the 1272nd prime number?
10369.
Which prime number is 10369?
10369 is the 1272nd prime number.
What is the sum of the first 1272 primes?
6,174,711.