What is the 3661st prime number?
The 3661st prime number is 34267. The next prime is 34273 (a gap of 6) and the one before is 34261.
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 3661st one is 34267.
- 2
34267 is prime because no prime up to ā34267 ā 185.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3661st prime is close to 3661 Ć ln(3661) ā 30040, and here it is 34267.
- 4
34267 has no twin: neither 34265 nor 34269 is prime.
Primes around the 3661st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3658 | 34253 | 22 |
| 3659 | 34259 | 6 |
| 3660 | 34261 | 2 |
| 3661 | 34267 | 6 |
| 3662 | 34273 | 6 |
| 3663 | 34283 | 10 |
| 3664 | 34297 | 14 |
Questions
What is the 3661st prime number?
34267.
Which prime number is 34267?
34267 is the 3661st prime number.
What is the sum of the first 3661 primes?
59,047,526.