What is the 4178th prime number?
The 4178th prime number is 39749. The next prime is 39761 (a gap of 12) and the one before is 39733.
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 4178th one is 39749.
- 2
39749 is prime because no prime up to ā39749 ā 199.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4178th prime is close to 4178 Ć ln(4178) ā 34834, and here it is 39749.
- 4
39749 has no twin: neither 39747 nor 39751 is prime.
Primes around the 4178th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4175 | 39719 | 10 |
| 4176 | 39727 | 8 |
| 4177 | 39733 | 6 |
| 4178 | 39749 | 16 |
| 4179 | 39761 | 12 |
| 4180 | 39769 | 8 |
| 4181 | 39779 | 10 |
Questions
What is the 4178th prime number?
39749.
Which prime number is 39749?
39749 is the 4178th prime number.
What is the sum of the first 4178 primes?
78,173,885.