What is the 4218th prime number?
The 4218th prime number is 40153. The next prime is 40163 (a gap of 10) and the one before is 40151.
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 4218th one is 40153.
- 2
40153 is prime because no prime up to ā40153 ā 200.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4218th prime is close to 4218 Ć ln(4218) ā 35208, and here it is 40153.
- 4
40153 is a twin prime: 40151 and 40153 are both prime.
Primes around the 4218th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4215 | 40127 | 4 |
| 4216 | 40129 | 2 |
| 4217 | 40151 | 22 |
| 4218 | 40153 | 2 |
| 4219 | 40163 | 10 |
| 4220 | 40169 | 6 |
| 4221 | 40177 | 8 |
Questions
What is the 4218th prime number?
40153.
Which prime number is 40153?
40153 is the 4218th prime number.
What is the sum of the first 4218 primes?
79,771,931.