What is the 3676th prime number?
The 3676th prime number is 34403. The next prime is 34421 (a gap of 18) and the one before is 34381.
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 3676th one is 34403.
- 2
34403 is prime because no prime up to ā34403 ā 185.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3676th prime is close to 3676 Ć ln(3676) ā 30178, and here it is 34403.
- 4
34403 has no twin: neither 34401 nor 34405 is prime.
Primes around the 3676th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3673 | 34367 | 6 |
| 3674 | 34369 | 2 |
| 3675 | 34381 | 12 |
| 3676 | 34403 | 22 |
| 3677 | 34421 | 18 |
| 3678 | 34429 | 8 |
| 3679 | 34439 | 10 |
Questions
What is the 3676th prime number?
34403.
Which prime number is 34403?
34403 is the 3676th prime number.
What is the sum of the first 3676 primes?
59,562,511.