What is the 4221st prime number?
The 4221st prime number is 40177. The next prime is 40189 (a gap of 12) and the one before is 40169.
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 4221st one is 40177.
- 2
40177 is prime because no prime up to ā40177 ā 200.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4221st prime is close to 4221 Ć ln(4221) ā 35236, and here it is 40177.
- 4
40177 has no twin: neither 40175 nor 40179 is prime.
Primes around the 4221st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4218 | 40153 | 2 |
| 4219 | 40163 | 10 |
| 4220 | 40169 | 6 |
| 4221 | 40177 | 8 |
| 4222 | 40189 | 12 |
| 4223 | 40193 | 4 |
| 4224 | 40213 | 20 |
Questions
What is the 4221st prime number?
40177.
Which prime number is 40177?
40177 is the 4221st prime number.
What is the sum of the first 4221 primes?
79,892,440.