What is the 3649th prime number?
The 3649th prime number is 34147. The next prime is 34157 (a gap of 10) and the one before is 34141.
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 3649th one is 34147.
- 2
34147 is prime because no prime up to ā34147 ā 184.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3649th prime is close to 3649 Ć ln(3649) ā 29930, and here it is 34147.
- 4
34147 has no twin: neither 34145 nor 34149 is prime.
Primes around the 3649th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3646 | 34127 | 4 |
| 3647 | 34129 | 2 |
| 3648 | 34141 | 12 |
| 3649 | 34147 | 6 |
| 3650 | 34157 | 10 |
| 3651 | 34159 | 2 |
| 3652 | 34171 | 12 |
Questions
What is the 3649th prime number?
34147.
Which prime number is 34147?
34147 is the 3649th prime number.
What is the sum of the first 3649 primes?
58,636,944.