What is the 106th prime number?
The 106th prime number is 577. The next prime is 587 (a gap of 10) and the one before is 571.
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 106th one is 577.
- 2
577 is prime because no prime up to ā577 ā 24.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 106th prime is close to 106 Ć ln(106) ā 494, and here it is 577.
- 4
577 has no twin: neither 575 nor 579 is prime.
Primes around the 106th
| Position | Prime | Gap from the previous |
|---|---|---|
| 103 | 563 | 6 |
| 104 | 569 | 6 |
| 105 | 571 | 2 |
| 106 | 577 | 6 |
| 107 | 587 | 10 |
| 108 | 593 | 6 |
| 109 | 599 | 6 |
Questions
What is the 106th prime number?
577.
Which prime number is 577?
577 is the 106th prime number.
What is the sum of the first 106 primes?
27,517.