What is the 2588th prime number?
The 2588th prime number is 23197. The next prime is 23201 (a gap of 4) and the one before is 23189.
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 2588th one is 23197.
- 2
23197 is prime because no prime up to ā23197 ā 152.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2588th prime is close to 2588 Ć ln(2588) ā 20338, and here it is 23197.
- 4
23197 has no twin: neither 23195 nor 23199 is prime.
Primes around the 2588th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2585 | 23167 | 8 |
| 2586 | 23173 | 6 |
| 2587 | 23189 | 16 |
| 2588 | 23197 | 8 |
| 2589 | 23201 | 4 |
| 2590 | 23203 | 2 |
| 2591 | 23209 | 6 |
Questions
What is the 2588th prime number?
23197.
Which prime number is 23197?
23197 is the 2588th prime number.
What is the sum of the first 2588 primes?
28,215,493.