What is the 1260th prime number?
The 1260th prime number is 10271. The next prime is 10273 (a gap of 2) and the one before is 10267.
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 1260th one is 10271.
- 2
10271 is prime because no prime up to ā10271 ā 101.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1260th prime is close to 1260 Ć ln(1260) ā 8995, and here it is 10271.
- 4
10271 is a twin prime: 10271 and 10273 are both prime.
Primes around the 1260th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1257 | 10253 | 6 |
| 1258 | 10259 | 6 |
| 1259 | 10267 | 8 |
| 1260 | 10271 | 4 |
| 1261 | 10273 | 2 |
| 1262 | 10289 | 16 |
| 1263 | 10301 | 12 |
Questions
What is the 1260th prime number?
10271.
Which prime number is 10271?
10271 is the 1260th prime number.
What is the sum of the first 1260 primes?
6,050,841.