What is the 3662nd prime number?
The 3662nd prime number is 34273. The next prime is 34283 (a gap of 10) and the one before is 34267.
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 3662nd one is 34273.
- 2
34273 is prime because no prime up to ā34273 ā 185.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3662nd prime is close to 3662 Ć ln(3662) ā 30050, and here it is 34273.
- 4
34273 has no twin: neither 34271 nor 34275 is prime.
Primes around the 3662nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3659 | 34259 | 6 |
| 3660 | 34261 | 2 |
| 3661 | 34267 | 6 |
| 3662 | 34273 | 6 |
| 3663 | 34283 | 10 |
| 3664 | 34297 | 14 |
| 3665 | 34301 | 4 |
Questions
What is the 3662nd prime number?
34273.
Which prime number is 34273?
34273 is the 3662nd prime number.
What is the sum of the first 3662 primes?
59,081,799.