What is the 3652nd prime number?
The 3652nd prime number is 34171. The next prime is 34183 (a gap of 12) and the one before is 34159.
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 3652nd one is 34171.
- 2
34171 is prime because no prime up to ā34171 ā 184.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3652nd prime is close to 3652 Ć ln(3652) ā 29957, and here it is 34171.
- 4
34171 has no twin: neither 34169 nor 34173 is prime.
Primes around the 3652nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3649 | 34147 | 6 |
| 3650 | 34157 | 10 |
| 3651 | 34159 | 2 |
| 3652 | 34171 | 12 |
| 3653 | 34183 | 12 |
| 3654 | 34211 | 28 |
| 3655 | 34213 | 2 |
Questions
What is the 3652nd prime number?
34171.
Which prime number is 34171?
34171 is the 3652nd prime number.
What is the sum of the first 3652 primes?
58,739,431.