Problems & Puzzles:
Conjectures
1.- Goldbach's Conjecture
2.- Chen's Conjecture
3.- Twin Prime's Conjecture
4.- Fermat primes are finite
5.- Are there infinitely many primes of the
form n2+1?
6.- Quantity of primes in a given
range: Opperman, Brocard & Schinzel conjectures?
7.- The Cramer's Conjecture
8.- Andrica’s Conjecture
9.- Shank's Conjecture
10.- Champions and Primorial Numbers
11.- Is there any odd Perfect Number ?
12.- Selfridge challenge
13.- Sierpinski numbers
14.- Enoch
Haga Observation about Palprimes
15.- The New Mersenne
Conjecture
16.-
n^n+1
17.-
The Ludovicus conjecture about Euler trinomials
18.-
Minimal primorial partitions (a conjecture by John Harvester)
19.
A bound to the
largest prime factor of certain Carmichael numbers
20. The first N natural numbers
listed in an order such that the sum of each two
adjacent of them is a prime number, and the Rivera's Algorithm
21. Rivera's
Conjectures about the representation of every natural number as an algebraic
sum of distinct consecutive prime numbers.
22. A
stronger version of the Goldbach Conjecture
23. The
Shyam's conjecture about the Rare Numbers
24. Paul
Underwood's conjecture
25. sopf(n)
= sopf(n+k)
26. The
Calendar-like square Conjecture
27. A
Charles Ashbacher Conjecture
28. Frank
Buss's Conjecture
29. The
Frank
Buss's B(n) function
30. The
Firoozbakht Conjecture
31. The Fermat-Catalan &
Beal's Conjectures
32. The ABC Conjecture
33.
The Goldbach Temptation
34. n
& n2,
Triangular Numbers
35.
The Firoozbakht functions
36.
The Sinisalo-Ludovicus Conjecture
37.
The Tutescu's Conjecture
38.
Adrian Stoica’s Conjecture
39.
Ingala's Conjecture
40.
Karama's Conjecture
41.
Pe's Conjecture
42.
Severini's conjecture
43.
Three consecutive primes
44.
A property of prime twins, only?
45.
Even numbers as sum of 4 twin primes.
46.
P-Q=R-S
47.
P=2P1 + 3P2
48.
P=A+/-B
49.
n = pq + rs
50.
n = pq - rs
51 : Two
approximate relationships about prime numbers
52 : SMR
Conjecture about consecutive primes
53. Floor
function & consecutive primes
54. Reversible
primes conjeture
55. n
= m^2 + p + d
56. One
more SMR conjecture.
57. |P(i-1)-2P(i)+P(i+1)|
58. Primes
m^2+1
59. n!+p(n)=m^k
60.
Generalization of Legendre's Conjecture
61. THE MEAN
MAXIMUM GAP BETWEEN PRIMES
62. Generalization
of Bertrand's Postulate
63. Consecutive
primes sum to a perfect power.
64. NUMBER
OF PRIME TWINS
65. Non-Euclidean
primes
66. Gaps
between consecutive twin pairs
67. primes & e
68. Based on an
Euler's Conjecture
69. A Conjecture
& proposed Axiom
70. n & n+1 primitive
roots
71. Twin
primes and π.
72. Counting
twin primes.
73. Counting primes
by the last significant digit.
74. What is
true assuming valid this...
75. Sebastian's
formula for a special case of the Carmichael function.
76. Conjectures
related to sequence (P[n])^(1/n)
77. Gaps between
primes of the form p=qn+r
78. Pn^((Pn+1/Pn)^n)<=n^Pn
79.
Rodolfo Kurchan's
Conjecture
80.
Why 25?
81. For all primes p,
there is at least one k | that p^k =
p&y&p?
82. Average
of log Dn / log(logPn) equal R = 0,877 08...
83. Two
conjectures about primes
84. Conjecture
related to primes in A.P.
85. Conjectures
stricter that the Goldbach ones
86. The
Majid's Conjecture
87. A
partition of the first 2n+1 primes
88.
Special Goldbach Partitions
89. Limit
of R = AVSQr / SQRT[log(AV)] equal 1
90. Semiprimes/Primes
->log(2)
91. A conjecture about
strong primes
92. For any
integer m there is at least one set of consecutive primes...
93. Related to A103514
94. Follow-up
Conjecture 29
95.
Pascal triangle (2,1), two Conjectures
96.
OEIS A360827
97.
Another conjecture related to Mersenne primes
98. Using
AI to solve some Conjectures.
99. Conjecture related
to A362910.
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