What is the 3655th prime number?
The 3655th prime number is 34213. The next prime is 34217 (a gap of 4) and the one before is 34211.
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 3655th one is 34213.
- 2
34213 is prime because no prime up to ā34213 ā 184.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3655th prime is close to 3655 Ć ln(3655) ā 29985, and here it is 34213.
- 4
34213 is a twin prime: 34211 and 34213 are both prime.
Primes around the 3655th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3652 | 34171 | 12 |
| 3653 | 34183 | 12 |
| 3654 | 34211 | 28 |
| 3655 | 34213 | 2 |
| 3656 | 34217 | 4 |
| 3657 | 34231 | 14 |
| 3658 | 34253 | 22 |
Questions
What is the 3655th prime number?
34213.
Which prime number is 34213?
34213 is the 3655th prime number.
What is the sum of the first 3655 primes?
58,842,038.