What is the 3106th prime number?
The 3106th prime number is 28549. The next prime is 28559 (a gap of 10) and the one before is 28547.
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 3106th one is 28549.
- 2
28549 is prime because no prime up to ā28549 ā 168.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3106th prime is close to 3106 Ć ln(3106) ā 24976, and here it is 28549.
- 4
28549 is a twin prime: 28547 and 28549 are both prime.
Primes around the 3106th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3103 | 28537 | 20 |
| 3104 | 28541 | 4 |
| 3105 | 28547 | 6 |
| 3106 | 28549 | 2 |
| 3107 | 28559 | 10 |
| 3108 | 28571 | 12 |
| 3109 | 28573 | 2 |
Questions
What is the 3106th prime number?
28549.
Which prime number is 28549?
28549 is the 3106th prime number.
What is the sum of the first 3106 primes?
41,613,431.