What is the 1576th prime number?
The 1576th prime number is 13259. The next prime is 13267 (a gap of 8) and the one before is 13249.
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 1576th one is 13259.
- 2
13259 is prime because no prime up to ā13259 ā 115.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1576th prime is close to 1576 Ć ln(1576) ā 11604, and here it is 13259.
- 4
13259 has no twin: neither 13257 nor 13261 is prime.
Primes around the 1576th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1573 | 13229 | 10 |
| 1574 | 13241 | 12 |
| 1575 | 13249 | 8 |
| 1576 | 13259 | 10 |
| 1577 | 13267 | 8 |
| 1578 | 13291 | 24 |
| 1579 | 13297 | 6 |
Questions
What is the 1576th prime number?
13259.
Which prime number is 13259?
13259 is the 1576th prime number.
What is the sum of the first 1576 primes?
9,777,841.