What is the 2655th prime number?
The 2655th prime number is 23873. The next prime is 23879 (a gap of 6) and the one before is 23869.
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 2655th one is 23873.
- 2
23873 is prime because no prime up to ā23873 ā 154.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2655th prime is close to 2655 Ć ln(2655) ā 20933, and here it is 23873.
- 4
23873 has no twin: neither 23871 nor 23875 is prime.
Primes around the 2655th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2652 | 23833 | 2 |
| 2653 | 23857 | 24 |
| 2654 | 23869 | 12 |
| 2655 | 23873 | 4 |
| 2656 | 23879 | 6 |
| 2657 | 23887 | 8 |
| 2658 | 23893 | 6 |
Questions
What is the 2655th prime number?
23873.
Which prime number is 23873?
23873 is the 2655th prime number.
What is the sum of the first 2655 primes?
29,793,646.