What is the 1261st prime number?
The 1261st prime number is 10273. The next prime is 10289 (a gap of 16) and the one before is 10271.
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 1261st one is 10273.
- 2
10273 is prime because no prime up to ā10273 ā 101.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1261st prime is close to 1261 Ć ln(1261) ā 9003, and here it is 10273.
- 4
10273 is a twin prime: 10271 and 10273 are both prime.
Primes around the 1261st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1258 | 10259 | 6 |
| 1259 | 10267 | 8 |
| 1260 | 10271 | 4 |
| 1261 | 10273 | 2 |
| 1262 | 10289 | 16 |
| 1263 | 10301 | 12 |
| 1264 | 10303 | 2 |
Questions
What is the 1261st prime number?
10273.
Which prime number is 10273?
10273 is the 1261st prime number.
What is the sum of the first 1261 primes?
6,061,114.