What is the 3653rd prime number?
The 3653rd prime number is 34183. The next prime is 34211 (a gap of 28) and the one before is 34171.
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 3653rd one is 34183.
- 2
34183 is prime because no prime up to ā34183 ā 184.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3653rd prime is close to 3653 Ć ln(3653) ā 29967, and here it is 34183.
- 4
34183 has no twin: neither 34181 nor 34185 is prime.
Primes around the 3653rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3650 | 34157 | 10 |
| 3651 | 34159 | 2 |
| 3652 | 34171 | 12 |
| 3653 | 34183 | 12 |
| 3654 | 34211 | 28 |
| 3655 | 34213 | 2 |
| 3656 | 34217 | 4 |
Questions
What is the 3653rd prime number?
34183.
Which prime number is 34183?
34183 is the 3653rd prime number.
What is the sum of the first 3653 primes?
58,773,614.