What is the 2587th prime number?
The 2587th prime number is 23189. The next prime is 23197 (a gap of 8) and the one before is 23173.
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 2587th one is 23189.
- 2
23189 is prime because no prime up to ā23189 ā 152.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2587th prime is close to 2587 Ć ln(2587) ā 20329, and here it is 23189.
- 4
23189 has no twin: neither 23187 nor 23191 is prime.
Primes around the 2587th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2584 | 23159 | 16 |
| 2585 | 23167 | 8 |
| 2586 | 23173 | 6 |
| 2587 | 23189 | 16 |
| 2588 | 23197 | 8 |
| 2589 | 23201 | 4 |
| 2590 | 23203 | 2 |
Questions
What is the 2587th prime number?
23189.
Which prime number is 23189?
23189 is the 2587th prime number.
What is the sum of the first 2587 primes?
28,192,296.