What is the 1259th prime number?
The 1259th prime number is 10267. The next prime is 10271 (a gap of 4) and the one before is 10259.
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 1259th one is 10267.
- 2
10267 is prime because no prime up to ā10267 ā 101.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1259th prime is close to 1259 Ć ln(1259) ā 8987, and here it is 10267.
- 4
10267 has no twin: neither 10265 nor 10269 is prime.
Primes around the 1259th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1256 | 10247 | 4 |
| 1257 | 10253 | 6 |
| 1258 | 10259 | 6 |
| 1259 | 10267 | 8 |
| 1260 | 10271 | 4 |
| 1261 | 10273 | 2 |
| 1262 | 10289 | 16 |
Questions
What is the 1259th prime number?
10267.
Which prime number is 10267?
10267 is the 1259th prime number.
What is the sum of the first 1259 primes?
6,040,570.