What is the 2606th prime number?
The 2606th prime number is 23371. The next prime is 23399 (a gap of 28) and the one before is 23369.
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 2606th one is 23371.
- 2
23371 is prime because no prime up to ā23371 ā 152.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2606th prime is close to 2606 Ć ln(2606) ā 20498, and here it is 23371.
- 4
23371 is a twin prime: 23369 and 23371 are both prime.
Primes around the 2606th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2603 | 23339 | 6 |
| 2604 | 23357 | 18 |
| 2605 | 23369 | 12 |
| 2606 | 23371 | 2 |
| 2607 | 23399 | 28 |
| 2608 | 23417 | 18 |
| 2609 | 23431 | 14 |
Questions
What is the 2606th prime number?
23371.
Which prime number is 23371?
23371 is the 2606th prime number.
What is the sum of the first 2606 primes?
28,634,741.