What is the 3648th prime number?
The 3648th prime number is 34141. The next prime is 34147 (a gap of 6) and the one before is 34129.
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 3648th one is 34141.
- 2
34141 is prime because no prime up to ā34141 ā 184.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3648th prime is close to 3648 Ć ln(3648) ā 29921, and here it is 34141.
- 4
34141 has no twin: neither 34139 nor 34143 is prime.
Primes around the 3648th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3645 | 34123 | 62 |
| 3646 | 34127 | 4 |
| 3647 | 34129 | 2 |
| 3648 | 34141 | 12 |
| 3649 | 34147 | 6 |
| 3650 | 34157 | 10 |
| 3651 | 34159 | 2 |
Questions
What is the 3648th prime number?
34141.
Which prime number is 34141?
34141 is the 3648th prime number.
What is the sum of the first 3648 primes?
58,602,797.