What is the 2584th prime number?
The 2584th prime number is 23159. The next prime is 23167 (a gap of 8) and the one before is 23143.
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 2584th one is 23159.
- 2
23159 is prime because no prime up to ā23159 ā 152.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2584th prime is close to 2584 Ć ln(2584) ā 20303, and here it is 23159.
- 4
23159 has no twin: neither 23157 nor 23161 is prime.
Primes around the 2584th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2581 | 23117 | 18 |
| 2582 | 23131 | 14 |
| 2583 | 23143 | 12 |
| 2584 | 23159 | 16 |
| 2585 | 23167 | 8 |
| 2586 | 23173 | 6 |
| 2587 | 23189 | 16 |
Questions
What is the 2584th prime number?
23159.
Which prime number is 23159?
23159 is the 2584th prime number.
What is the sum of the first 2584 primes?
28,122,767.