What is the 4214th prime number?
The 4214th prime number is 40123. The next prime is 40127 (a gap of 4) and the one before is 40111.
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 4214th one is 40123.
- 2
40123 is prime because no prime up to ā40123 ā 200.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4214th prime is close to 4214 Ć ln(4214) ā 35171, and here it is 40123.
- 4
40123 has no twin: neither 40121 nor 40125 is prime.
Primes around the 4214th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4211 | 40093 | 6 |
| 4212 | 40099 | 6 |
| 4213 | 40111 | 12 |
| 4214 | 40123 | 12 |
| 4215 | 40127 | 4 |
| 4216 | 40129 | 2 |
| 4217 | 40151 | 22 |
Questions
What is the 4214th prime number?
40123.
Which prime number is 40123?
40123 is the 4214th prime number.
What is the sum of the first 4214 primes?
79,611,371.