What is the 1577th prime number?
The 1577th prime number is 13267. The next prime is 13291 (a gap of 24) and the one before is 13259.
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 1577th one is 13267.
- 2
13267 is prime because no prime up to ā13267 ā 115.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1577th prime is close to 1577 Ć ln(1577) ā 11612, and here it is 13267.
- 4
13267 has no twin: neither 13265 nor 13269 is prime.
Primes around the 1577th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1574 | 13241 | 12 |
| 1575 | 13249 | 8 |
| 1576 | 13259 | 10 |
| 1577 | 13267 | 8 |
| 1578 | 13291 | 24 |
| 1579 | 13297 | 6 |
| 1580 | 13309 | 12 |
Questions
What is the 1577th prime number?
13267.
Which prime number is 13267?
13267 is the 1577th prime number.
What is the sum of the first 1577 primes?
9,791,108.