Statements (498)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:artifacts
gptkb:Mathematics gptkb:mythological_figure gptkb:jewelry gptkb:prophecy |
| gptkbp:appears_in |
Roman literature
|
| gptkbp:are |
gptkb:jewelry
sacred three precious jewels created by Fëanor |
| gptkbp:are_the_objects_of |
gptkb:the_quest_of_Beren_and_Lúthien
gptkb:the_fate_of_the_Silmarils gptkb:the_betrayal_of_the_Noldor the downfall of Fëanor the destruction of the Two Trees the legacy of the Noldor the tragedy of the Noldor desire for many characters the quest of the Noldor the rivalry among the Noldor |
| gptkbp:are_three |
in number
|
| gptkbp:associated_with |
gptkb:Sibyl_of_Cumae
gptkb:Sibyl_of_Delphi gptkb:Sibyl_of_Phrygia gptkb:Beren gptkb:Sibylline_Books gptkb:divination gptkb:Diana gptkb:Cicero gptkb:Noldor gptkb:Two_Trees_of_Valinor gptkb:Light_of_the_Two_Trees gptkb:Seneca gptkb:Virgil gptkb:Cumaean_Sibyl gptkb:Sibyl_of_Erythrae gptkb:Sibyl_of_Marpessa gptkb:Sibyl_of_Samos gptkb:Sibyl_of_Tibur gptkb:Sibyl_of_the_Adriatic gptkb:Sibyl_of_the_Aegean gptkb:Sibyl_of_the_Antarctic_Ocean gptkb:Sibyl_of_the_Arabian_Sea gptkb:Sibyl_of_the_Arctic_Ocean gptkb:Sibyl_of_the_Atlantic_Ocean gptkb:Sibyl_of_the_Balearic_Sea gptkb:Sibyl_of_the_Baltic_Sea gptkb:Sibyl_of_the_Black_Sea gptkb:Sibyl_of_the_Bosporus gptkb:Sibyl_of_the_Cantabrian_Sea gptkb:Sibyl_of_the_Caspian_Sea gptkb:Sibyl_of_the_Caucasus gptkb:Sibyl_of_the_Euphrates gptkb:Sibyl_of_the_Gulf_of_Mexico gptkb:Sibyl_of_the_Hellespont gptkb:Sibyl_of_the_Indian_Ocean gptkb:Sibyl_of_the_Ionian_Sea gptkb:Sibyl_of_the_Ligurian_Sea gptkb:Sibyl_of_the_Mediterranean gptkb:Sibyl_of_the_Nile gptkb:Sibyl_of_the_North_Sea gptkb:Sibyl_of_the_Pacific_Ocean gptkb:Sibyl_of_the_Red_Sea gptkb:Sibyl_of_the_Southern_Ocean gptkb:Sibyl_of_the_Tigris gptkb:Sibyl_of_the_Tyrrhenian_Sea gptkb:Roman_Empire gptkb:ancient_Greece gptkb:The_Book_of_Lost_Tales gptkb:Tiberius gptkb:Apollo gptkb:Cumae gptkb:Elves gptkb:The_Lost_Road_and_Other_Writings gptkb:Middle-earth gptkb:Tolkien's_legendarium gptkb:Plato gptkb:The_Children_of_Húrin gptkb:The_Fall_of_Gondolin gptkb:The_Silmarillion gptkb:Lúthien gptkb:Morgoth gptkb:The_War_of_the_Jewels gptkb:the_First_Age gptkb:the_downfall_of_Númenor gptkb:Fëanor's_Oath gptkb:First_Age gptkb:prophecy gptkb:Valinor gptkb:Delphic_Oracle oracles the fate of Arda Sibyl of the Caribbean Sea |
| gptkbp:can |
gptkb:Eärendil
|
| gptkbp:can_be_found_in |
gptkb:Sky
various mathematical literature |
| gptkbp:can_lead_to |
gptkb:the_War_of_the_Jewels
|
| gptkbp:captures |
gptkb:Melkor
gptkb:Morgoth |
| gptkbp:cause |
gptkb:the_Oath_of_Fëanor
|
| gptkbp:caused_by |
gptkb:the_Kinslaying
gptkb:War_of_the_Jewels gptkb:Wars_of_Beleriand strife among Elves |
| gptkbp:caused_war |
gptkb:War_of_the_Jewels
|
| gptkbp:conducts_research_on |
algebraic structures
mathematical sequences mathematical patterns |
| gptkbp:constructed_in |
light of the Two Trees
the essence of the Two Trees |
| gptkbp:contains |
gptkb:the_light_of_the_Two_Trees
light of the Two Trees |
| gptkbp:created_by |
gptkb:Fëanor
light of the Trees |
| gptkbp:cultural_significance |
gptkb:Greek_mythology
Roman religion |
| gptkbp:curriculum |
advanced mathematics courses
|
| gptkbp:defeated |
gptkb:Eärendil
gptkb:ocean gptkb:Fingolfin |
| gptkbp:depicted_in |
gptkb:art
|
| gptkbp:depicts |
properties of numbers
|
| gptkbp:example |
a sequence of numbers
|
| gptkbp:has_a_focus_on |
gptkb:the_Silmarillion
numerical analysis |
| gptkbp:has_ability |
foretelling the future
|
| gptkbp:has_been_restored |
gptkb:Eärendil
gptkb:Beren_and_Lúthien |
| gptkbp:has_been_studied_since |
the early 20th century
|
| gptkbp:has_examples_such_as |
gptkb:Sierpiński_number_2
|
| gptkbp:has_implications_for |
gptkb:crypt
|
| gptkbp:has_influence_on |
gptkb:literature
|
| gptkbp:has_produced |
specific algorithms
|
| gptkbp:has_role |
gptkb:Oracle
|
| gptkbp:has_symbol |
gptkb:staff
gptkb:birds veil |
| gptkbp:has_three |
gptkb:Silmarils
|
| gptkbp:has_variations |
different cultures
|
| gptkbp:held_in |
gptkb:Beren
gptkb:the_light_of_Telperion gptkb:Eärendil gptkb:Lúthien gptkb:light_of_Laurelin gptkb:light_of_Telperion the light of the Two Trees of Valinor the light of Laurelin |
| gptkbp:historical_period |
gptkb:Classical_antiquity
|
| https://www.w3.org/2000/01/rdf-schema#label |
Silmarils
|
| gptkbp:influence |
gptkb:Middle-earth_mythology
gptkb:Tolkien's_works |
| gptkbp:influenced |
the history of Middle-earth
the fate of Elves and Men the history of Arda |
| gptkbp:inspiration |
gptkb:many_tales
the creation of the Palantíri |
| gptkbp:inspired |
gptkb:the_Oath_of_Fëanor
gptkb:the_Noldor gptkb:Tales_of_the_Eldar gptkb:the_War_of_the_Jewels gptkb:many_tales the creation of the Silmarillion great quests jealousy among Elves and Men |
| gptkbp:is |
gptkb:jewelry
|
| gptkbp:is_a |
gptkb:artifacts
gptkb:historical_artifacts gptkb:mythical_creatures gptkb:jewelry legendary jewel mythical jewel |
| gptkbp:is_a_basis_for |
the conflict between Elves and Morgoth
|
| gptkbp:is_a_central_figure_in |
the plot of The Silmarillion
|
| gptkbp:is_a_concept_that_appears_in |
mathematical textbooks
|
| gptkbp:is_a_focus_of_inquiry_in |
the philosophy of mathematics
|
| gptkbp:is_a_key_component_of |
the study of number systems
|
| gptkbp:is_a_source_of |
great strife
|
| gptkbp:is_a_subject_of |
gptkb:Mathematician
mathematical research mathematical competitions discrete mathematics mathematical forums |
| gptkbp:is_a_symbol_of |
gptkb:the_light_of_the_Two_Trees
|
| gptkbp:is_analyzed_in |
computational complexity theory
mathematical conjectures its properties and characteristics |
| gptkbp:is_associated_with |
gptkb:Oracle
gptkb:Apollo gptkb:Cumae gptkb:the_fate_of_the_Noldor gptkb:sacred_texts composite numbers divine inspiration sacred caves mystical knowledge the Sierpiński conjecture |
| gptkbp:is_connected_to |
gptkb:the_exile_of_the_Noldor
gptkb:Mersenne_primes gptkb:the_Silmarillion gptkb:the_Oath_of_Fëanor gptkb:the_tragedy_of_Beren_and_Lúthien gptkb:the_fate_of_the_Noldor gptkb:the_War_of_Wrath gptkb:the_fate_of_the_Silmarils gptkb:the_light_of_the_Two_Trees the creation of the world the curse of Mandos the fate of the world the fate of Middle-earth the fate of Men the fate of the Dwarves the fate of the Elves the fate of the Valar the downfall of Morgoth the history of the Elves the fate of the Two Trees the Riemann hypothesis the story of Túrin Turambar the downfall of the Noldor |
| gptkbp:is_considered |
a treasure
a relic of the past a symbol of loss |
| gptkbp:is_considered_to_be |
the most beautiful objects
|
| gptkbp:is_defined_by |
a natural number that is of the form k imes 2^n + 1
|
| gptkbp:is_described_as |
gptkb:The_Lost_Road_and_Other_Writings
gptkb:The_Silmarillion a source of light radiant and beautiful |
| gptkbp:is_discussed_in |
the nature of infinity
|
| gptkbp:is_explored_in |
theoretical computer science
mathematical simulations |
| gptkbp:is_fabled_to_bring |
great fortune
|
| gptkbp:is_in |
gptkb:Middle-earth
|
| gptkbp:is_involved_in |
the study of algorithms
the tragedy of the Noldor |
| gptkbp:is_known_for |
gptkb:Sibylline_books
gptkb:Cumaean_Sibyl prophecies its role in the study of prime gaps |
| gptkbp:is_linked_to |
gptkb:the_downfall_of_Gondolin
gptkb:the_Silmarillion gptkb:the_Oath_of_Fëanor gptkb:the_Curse_of_Mandos gptkb:the_Noldor gptkb:Doriath gptkb:Eärendil gptkb:the_fate_of_the_Noldor gptkb:Thingol gptkb:Fingolfin gptkb:Gondolin gptkb:Nargothrond gptkb:the_Fall_of_Gondolin gptkb:the_War_of_Wrath gptkb:the_fate_of_the_Silmarils gptkb:Fëanor's_Oath gptkb:Valinor the fate of the world the fate of Middle-earth the fate of the Elves the concept of divisibility |
| gptkbp:is_mentioned_in |
gptkb:The_Lord_of_the_Rings
gptkb:the_Bible gptkb:the_Aeneid gptkb:Metamorphoses gptkb:Aeneid |
| gptkbp:is_often_calculated_using |
modular arithmetic
|
| gptkbp:is_often_depicted_as |
gptkb:art
gptkb:literature female figures S(n) for n = 0, 1, 2, ... |
| gptkbp:is_often_discussed_in |
the Goldbach conjecture
|
| gptkbp:is_often_examined_in_relation_to |
the distribution of composite numbers
|
| gptkbp:is_often_referenced_in |
academic papers
|
| gptkbp:is_often_used_in |
mathematical proofs
|
| gptkbp:is_often_visualized_using |
graphical representations
|
| gptkbp:is_part_of |
gptkb:the_legendarium_of_J._R._R._Tolkien
gptkb:The_Silmarillion the history of mathematics the lore of Middle-earth the history of the Elves the tales of the First Age the mythology of Tolkien the history of Arda |
| gptkbp:is_regarded_as |
a masterpiece
|
| gptkbp:is_related_to |
gptkb:Sierpiński_triangle
|
| gptkbp:is_related_to_the_distribution_of |
prime numbers
|
| gptkbp:is_relevant_to |
the field of combinatorics
|
| gptkbp:is_represented_in |
gptkb:books
gptkb:scrolls gptkb:various_adaptations prophetic visions k imes 2^n + 1 for k = 2, 3, 4, ... |
| gptkbp:is_significant_for |
gptkb:prime_factorization
computational mathematics |
| gptkbp:is_sought_after_by |
gptkb:Fëanor's_sons
gptkb:Beren gptkb:the_Valar gptkb:Elves gptkb:Lúthien gptkb:Morgoth gptkb:Fingolfin many characters many heroes |
| gptkbp:is_studied_in |
mathematical modeling
mathematical logic |
| gptkbp:is_symbolic_of |
gptkb:light
the struggle between good and evil hope and despair Light and Beauty |
| gptkbp:is_tested_for |
primality
|
| gptkbp:is_used_in |
number theory
|
| gptkbp:is_used_in_the_study_of |
gptkb:random_number_generation
|
| gptkbp:key |
the fate of Middle-earth
|
| gptkbp:key_concept |
the theory of numbers
|
| gptkbp:known_for |
gptkb:prophecy
foretelling the future |
| gptkbp:led_to |
gptkb:the_Doom_of_Mandos
the downfall of Fëanor |
| gptkbp:lost_and_found |
gptkb:War_of_Wrath
gptkb:War_of_the_Jewels the sea the Sea |
| gptkbp:made_of |
gptkb:Light_of_the_Two_Trees
gptkb:light light of the Two Trees |
| gptkbp:named_after |
gptkb:Wacław_Sierpiński
|
| gptkbp:narrative |
great power
|
| gptkbp:number |
gptkb:true
|
| gptkbp:often_includes |
mathematical challenges.
|
| gptkbp:represents |
gptkb:the_pride_of_Fëanor
hope |
| gptkbp:research_focus |
analytic number theory
|
| gptkbp:resides_in |
gptkb:the_Crown_of_Fëanor
|
| gptkbp:resulted_in |
gptkb:the_exile_of_the_Noldor
gptkb:the_downfall_of_Gondolin gptkb:Wars_of_Beleriand |
| gptkbp:symbolizes |
gptkb:light
gptkb:loss hope beauty light and beauty the light of creation the beauty and tragedy of Arda hope and beauty the beauty and tragedy of Elvenkind |
| gptkbp:type_of |
gptkb:Compass
|
| gptkbp:used_in |
gptkb:The_Silmarillion
|
| gptkbp:was_a_demonstration_of |
the principles of mathematical induction
|
| gptkbp:was_condemned_by |
gptkb:Mandos
gptkb:Morgoth |
| gptkbp:were |
gptkb:the_pride_of_Fëanor
gptkb:the_light_of_the_Two_Trees cursed three in number the subject of many tales the source of conflict the source of envy the essence of light the source of light the reason for the strife between the Elves and the Dwarves the reason for the fate of the Elves in Middle-earth the reason for the creation of the Silmarils' mythos lost in the depths of the sea the cause of great strife the cause of the Kinslaying at Alqualondë the cause of the doom of Mandos the cause of the fall of the Noldor the embodiment of Fëanor's pride the focus of the quest in the Silmarillion the most beautiful objects in Middle-earth the most coveted treasures in Arda the object of desire for many characters the reason for the Oath of Fëanor the reason for the betrayal of Melkor the reason for the creation of the Silmarillion the reason for the curse of Mandos the reason for the division of the Noldor the reason for the downfall of Morgoth the reason for the end of the Elven kingdoms the reason for the end of the First Age the reason for the enmity between Elves and Men the reason for the exile of the Noldor the reason for the fall of Gondolin the reason for the fate of the Silmarils the reason for the legacy of Fëanor the reason for the legacy of the Silmarils the reason for the rise of the Noldor the reason for the sorrow of the Elves the reason for the sorrow of the Noldor the reason for the tragedy of Beren and Lúthien the source of conflict among the Valar the source of light for the Elves the subject of many prophecies the subject of many tales and songs the reason for the creation of the Silmarils' legend the reason for the creation of the Silmarils' curse the ultimate goal of the Noldor's journey to Middle-earth the object of desire lost to the world the focus of the Silmarillion the reason for the War of Wrath the reason for the betrayal of the Noldor the reason for the fate of the Elves the reason for the fate of the Noldor the cause of the fall of Gondolin the legacy of Fëanor the legacy of the Noldor lost in the sea the cause of strife the cause of strife among Elves the cause of the Doom of Mandos the cause of the death of many heroes the cause of the destruction of the Two Trees the cause of the downfall of many heroes the cause of the downfall of the Noldor the cause of the end of the Elven race the cause of the end of the First Age the cause of the exile of the Noldor the cause of the fate of the Silmarils the cause of the rise of Morgoth the cause of the rise of the Dark Lord the cause of the sorrow of Lúthien the cause of the sorrow of the Elves the cause of the strife between Elves and Dwarves the cause of the strife in the First Age the cause of the tragic fate of many characters the embodiment of Elven craftsmanship the focus of the Silmarillion's narrative the focus of the quest of the Children of Húrin the heart of the legendarium the most beautiful objects the most coveted objects in Middle-earth the object of many quests the reason for the creation of the Noldor's Oath the reason for the division of the Elves the reason for the downfall of the Noldor. the reason for the end of the Elves' glory the reason for the fall of the Noldor the reason for the fall of the Silmarils the reason for the legacy of the Silmarils. the source of great beauty and great sorrow the source of great power the source of the Elven light the subject of many songs and tales the ultimate goal of many quests the ultimate prize for Morgoth the ultimate symbol of Elven ambition the reason for the fate of the Silmarils in the sea lost in the depths of the earth lost to the sea sought after by many races the cause of many conflicts the cause of the War of Wrath the object of desire for Morgoth the reason for the Doom of Mandos the reason for the Kinslaying the reason for the decline of the Elves the reason for the destruction of Beleriand the reason for the downfall of many kingdoms the reason for the fading of the Elves the reason for the history of the Elves the reason for the legends of the First Age the reason for the lore of the Noldor the reason for the myths of Middle-earth the reason for the poetry of the Eldar the reason for the rise of Men the reason for the songs of the Elves the reason for the stories of the Silmarils the reason for the tales of the Eldar the reason for the tragedy of the Noldor the reason for the loss of immortality for some Elves the object of desire for many characters in the legendarium the embodiment of Fëanor's pride and ambition the most beautiful jewels ever made the most powerful artifacts in the First Age the reason for the death of many characters the reason for the division among the Noldor the reason for the rise of Morgoth's power the source of great strife and conflict the reason for the creation of the history of Middle-earth the legacy of the Two Trees sought by many the cause of betrayal the cause of many tragedies the cause of the downfall of Gondolin the focus of the First Age conflicts the heart of the Elven history the pride of the Noldor the reason for the downfall of many the source of many songs and tales the ultimate prize in the struggle against Morgoth |
| gptkbp:were_sought_by |
gptkb:Morgoth
|
| gptkbp:bfsParent |
gptkb:Planescape
gptkb:J._R._R._Tolkien gptkb:Apollo gptkb:The_Eye_of_the_Sibyl gptkb:House gptkb:Fremen |
| gptkbp:bfsLayer |
4
|