What is the 4220th prime number?
The 4220th prime number is 40169. The next prime is 40177 (a gap of 8) and the one before is 40163.
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 4220th one is 40169.
- 2
40169 is prime because no prime up to ā40169 ā 200.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4220th prime is close to 4220 Ć ln(4220) ā 35227, and here it is 40169.
- 4
40169 has no twin: neither 40167 nor 40171 is prime.
Primes around the 4220th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4217 | 40151 | 22 |
| 4218 | 40153 | 2 |
| 4219 | 40163 | 10 |
| 4220 | 40169 | 6 |
| 4221 | 40177 | 8 |
| 4222 | 40189 | 12 |
| 4223 | 40193 | 4 |
Questions
What is the 4220th prime number?
40169.
Which prime number is 40169?
40169 is the 4220th prime number.
What is the sum of the first 4220 primes?
79,852,263.