What is the 5046th prime number?
The 5046th prime number is 49103. The next prime is 49109 (a gap of 6) and the one before is 49081.
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 5046th one is 49103.
- 2
49103 is prime because no prime up to ā49103 ā 221.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5046th prime is close to 5046 Ć ln(5046) ā 43024, and here it is 49103.
- 4
49103 has no twin: neither 49101 nor 49105 is prime.
Primes around the 5046th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5043 | 49057 | 14 |
| 5044 | 49069 | 12 |
| 5045 | 49081 | 12 |
| 5046 | 49103 | 22 |
| 5047 | 49109 | 6 |
| 5048 | 49117 | 8 |
| 5049 | 49121 | 4 |
Questions
What is the 5046th prime number?
49103.
Which prime number is 49103?
49103 is the 5046th prime number.
What is the sum of the first 5046 primes?
116,702,723.