What is the 4106th prime number?
The 4106th prime number is 38977. The next prime is 38993 (a gap of 16) and the one before is 38971.
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 4106th one is 38977.
- 2
38977 is prime because no prime up to ā38977 ā 197.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4106th prime is close to 4106 Ć ln(4106) ā 34163, and here it is 38977.
- 4
38977 has no twin: neither 38975 nor 38979 is prime.
Primes around the 4106th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4103 | 38953 | 20 |
| 4104 | 38959 | 6 |
| 4105 | 38971 | 12 |
| 4106 | 38977 | 6 |
| 4107 | 38993 | 16 |
| 4108 | 39019 | 26 |
| 4109 | 39023 | 4 |
Questions
What is the 4106th prime number?
38977.
Which prime number is 38977?
38977 is the 4106th prime number.
What is the sum of the first 4106 primes?
75,339,895.