What is the 4504th prime number?
The 4504th prime number is 43103. The next prime is 43117 (a gap of 14) and the one before is 43093.
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 4504th one is 43103.
- 2
43103 is prime because no prime up to ā43103 ā 207.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4504th prime is close to 4504 Ć ln(4504) ā 37891, and here it is 43103.
- 4
43103 has no twin: neither 43101 nor 43105 is prime.
Primes around the 4504th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4501 | 43063 | 12 |
| 4502 | 43067 | 4 |
| 4503 | 43093 | 26 |
| 4504 | 43103 | 10 |
| 4505 | 43117 | 14 |
| 4506 | 43133 | 16 |
| 4507 | 43151 | 18 |
Questions
What is the 4504th prime number?
43103.
Which prime number is 43103?
43103 is the 4504th prime number.
What is the sum of the first 4504 primes?
91,692,755.