What is the 4181st prime number?
The 4181st prime number is 39779. The next prime is 39791 (a gap of 12) and the one before is 39769.
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 4181st one is 39779.
- 2
39779 is prime because no prime up to ā39779 ā 199.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4181st prime is close to 4181 Ć ln(4181) ā 34862, and here it is 39779.
- 4
39779 has no twin: neither 39777 nor 39781 is prime.
Primes around the 4181st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4178 | 39749 | 16 |
| 4179 | 39761 | 12 |
| 4180 | 39769 | 8 |
| 4181 | 39779 | 10 |
| 4182 | 39791 | 12 |
| 4183 | 39799 | 8 |
| 4184 | 39821 | 22 |
Questions
What is the 4181st prime number?
39779.
Which prime number is 39779?
39779 is the 4181st prime number.
What is the sum of the first 4181 primes?
78,293,194.