What is the 4216th prime number?
The 4216th prime number is 40129. The next prime is 40151 (a gap of 22) and the one before is 40127.
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 4216th one is 40129.
- 2
40129 is prime because no prime up to ā40129 ā 200.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4216th prime is close to 4216 Ć ln(4216) ā 35189, and here it is 40129.
- 4
40129 is a twin prime: 40127 and 40129 are both prime.
Primes around the 4216th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4213 | 40111 | 12 |
| 4214 | 40123 | 12 |
| 4215 | 40127 | 4 |
| 4216 | 40129 | 2 |
| 4217 | 40151 | 22 |
| 4218 | 40153 | 2 |
| 4219 | 40163 | 10 |
Questions
What is the 4216th prime number?
40129.
Which prime number is 40129?
40129 is the 4216th prime number.
What is the sum of the first 4216 primes?
79,691,627.