What is the 3651st prime number?
The 3651st prime number is 34159. The next prime is 34171 (a gap of 12) and the one before is 34157.
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 3651st one is 34159.
- 2
34159 is prime because no prime up to ā34159 ā 184.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3651st prime is close to 3651 Ć ln(3651) ā 29948, and here it is 34159.
- 4
34159 is a twin prime: 34157 and 34159 are both prime.
Primes around the 3651st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3648 | 34141 | 12 |
| 3649 | 34147 | 6 |
| 3650 | 34157 | 10 |
| 3651 | 34159 | 2 |
| 3652 | 34171 | 12 |
| 3653 | 34183 | 12 |
| 3654 | 34211 | 28 |
Questions
What is the 3651st prime number?
34159.
Which prime number is 34159?
34159 is the 3651st prime number.
What is the sum of the first 3651 primes?
58,705,260.