What is the 2487th prime number?
The 2487th prime number is 22171. The next prime is 22189 (a gap of 18) and the one before is 22159.
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 2487th one is 22171.
- 2
22171 is prime because no prime up to ā22171 ā 148.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2487th prime is close to 2487 Ć ln(2487) ā 19445, and here it is 22171.
- 4
22171 has no twin: neither 22169 nor 22173 is prime.
Primes around the 2487th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2484 | 22153 | 6 |
| 2485 | 22157 | 4 |
| 2486 | 22159 | 2 |
| 2487 | 22171 | 12 |
| 2488 | 22189 | 18 |
| 2489 | 22193 | 4 |
| 2490 | 22229 | 36 |
Questions
What is the 2487th prime number?
22171.
Which prime number is 22171?
22171 is the 2487th prime number.
What is the sum of the first 2487 primes?
25,921,624.