What is the 3646th prime number?
The 3646th prime number is 34127. The next prime is 34129 (a gap of 2) and the one before is 34123.
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 3646th one is 34127.
- 2
34127 is prime because no prime up to ā34127 ā 184.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3646th prime is close to 3646 Ć ln(3646) ā 29902, and here it is 34127.
- 4
34127 is a twin prime: 34127 and 34129 are both prime.
Primes around the 3646th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3643 | 34057 | 18 |
| 3644 | 34061 | 4 |
| 3645 | 34123 | 62 |
| 3646 | 34127 | 4 |
| 3647 | 34129 | 2 |
| 3648 | 34141 | 12 |
| 3649 | 34147 | 6 |
Questions
What is the 3646th prime number?
34127.
Which prime number is 34127?
34127 is the 3646th prime number.
What is the sum of the first 3646 primes?
58,534,527.