What is the 3104th prime number?
The 3104th prime number is 28541. The next prime is 28547 (a gap of 6) and the one before is 28537.
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 3104th one is 28541.
- 2
28541 is prime because no prime up to ā28541 ā 168.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3104th prime is close to 3104 Ć ln(3104) ā 24958, and here it is 28541.
- 4
28541 has no twin: neither 28539 nor 28543 is prime.
Primes around the 3104th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3101 | 28513 | 14 |
| 3102 | 28517 | 4 |
| 3103 | 28537 | 20 |
| 3104 | 28541 | 4 |
| 3105 | 28547 | 6 |
| 3106 | 28549 | 2 |
| 3107 | 28559 | 10 |
Questions
What is the 3104th prime number?
28541.
Which prime number is 28541?
28541 is the 3104th prime number.
What is the sum of the first 3104 primes?
41,556,335.