What is the 4219th prime number?
The 4219th prime number is 40163. The next prime is 40169 (a gap of 6) and the one before is 40153.
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 4219th one is 40163.
- 2
40163 is prime because no prime up to ā40163 ā 200.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4219th prime is close to 4219 Ć ln(4219) ā 35217, and here it is 40163.
- 4
40163 has no twin: neither 40161 nor 40165 is prime.
Primes around the 4219th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4216 | 40129 | 2 |
| 4217 | 40151 | 22 |
| 4218 | 40153 | 2 |
| 4219 | 40163 | 10 |
| 4220 | 40169 | 6 |
| 4221 | 40177 | 8 |
| 4222 | 40189 | 12 |
Questions
What is the 4219th prime number?
40163.
Which prime number is 40163?
40163 is the 4219th prime number.
What is the sum of the first 4219 primes?
79,812,094.