What is the 4215th prime number?
The 4215th prime number is 40127. The next prime is 40129 (a gap of 2) and the one before is 40123.
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 4215th one is 40127.
- 2
40127 is prime because no prime up to ā40127 ā 200.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4215th prime is close to 4215 Ć ln(4215) ā 35180, and here it is 40127.
- 4
40127 is a twin prime: 40127 and 40129 are both prime.
Primes around the 4215th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4212 | 40099 | 6 |
| 4213 | 40111 | 12 |
| 4214 | 40123 | 12 |
| 4215 | 40127 | 4 |
| 4216 | 40129 | 2 |
| 4217 | 40151 | 22 |
| 4218 | 40153 | 2 |
Questions
What is the 4215th prime number?
40127.
Which prime number is 40127?
40127 is the 4215th prime number.
What is the sum of the first 4215 primes?
79,651,498.