What is the 4217th prime number?
The 4217th prime number is 40151. The next prime is 40153 (a gap of 2) and the one before is 40129.
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 4217th one is 40151.
- 2
40151 is prime because no prime up to ā40151 ā 200.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4217th prime is close to 4217 Ć ln(4217) ā 35199, and here it is 40151.
- 4
40151 is a twin prime: 40151 and 40153 are both prime.
Primes around the 4217th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4214 | 40123 | 12 |
| 4215 | 40127 | 4 |
| 4216 | 40129 | 2 |
| 4217 | 40151 | 22 |
| 4218 | 40153 | 2 |
| 4219 | 40163 | 10 |
| 4220 | 40169 | 6 |
Questions
What is the 4217th prime number?
40151.
Which prime number is 40151?
40151 is the 4217th prime number.
What is the sum of the first 4217 primes?
79,731,778.