What is the 3601st prime number?
The 3601st prime number is 33617. The next prime is 33619 (a gap of 2) and the one before is 33613.
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 3601st one is 33617.
- 2
33617 is prime because no prime up to ā33617 ā 183.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3601st prime is close to 3601 Ć ln(3601) ā 29488, and here it is 33617.
- 4
33617 is a twin prime: 33617 and 33619 are both prime.
Primes around the 3601st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3598 | 33599 | 10 |
| 3599 | 33601 | 2 |
| 3600 | 33613 | 12 |
| 3601 | 33617 | 4 |
| 3602 | 33619 | 2 |
| 3603 | 33623 | 4 |
| 3604 | 33629 | 6 |
Questions
What is the 3601st prime number?
33617.
Which prime number is 33617?
33617 is the 3601st prime number.
What is the sum of the first 3601 primes?
57,011,464.